LMFDB - Elliptic curve search results

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Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Semistable	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
15.a3	15a6	15.a	15a	$8$	$16$	$ 3 \cdot 5 $	$ - 3^{16} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.153	2B	$480$	$768$	$13$	$1$	$1$		$0$	$4$	$0.290870$	$-147281603041/215233605$	$1.05949$	$9.96125$	$[1, 1, 1, -110, -880]$	$y^2+xy+y=x^3+x^2-110x-880$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.6, 16.96.0-16.u.2.3, 20.24.0-20.h.1.1, $\ldots$	$[]$
45.a3	45a8	45.a	45a	$8$	$16$	$ 3^{2} \cdot 5 $	$ - 3^{22} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	32.96.0.67	2B	$480$	$768$	$13$	$1$	$1$		$0$	$32$	$0.840176$	$-147281603041/215233605$	$1.05949$	$8.81802$	$[1, -1, 0, -990, 22765]$	$y^2+xy=x^3-x^2-990x+22765$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0.u.2, $\ldots$	$[]$
75.b3	75b8	75.b	75b	$8$	$16$	$ 3 \cdot 5^{2} $	$ - 3^{16} \cdot 5^{7} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.121	2B	$480$	$768$	$13$	$1$	$1$		$2$	$96$	$1.095589$	$-147281603041/215233605$	$1.05949$	$8.48461$	$[1, 0, 1, -2751, -104477]$	$y^2+xy+y=x^3-2751x-104477$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.ba.2.7, 16.96.0-16.u.2.5, 20.24.0-20.h.1.2, $\ldots$	$[]$
225.b3	225c8	225.b	225c	$8$	$16$	$ 3^{2} \cdot 5^{2} $	$ - 3^{22} \cdot 5^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	32.96.0.65	2B	$480$	$768$	$13$	$1$	$1$		$0$	$768$	$1.644896$	$-147281603041/215233605$	$1.05949$	$7.98063$	$[1, -1, 1, -24755, 2820872]$	$y^2+xy+y=x^3-x^2-24755x+2820872$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.2, 16.48.0.u.2, $\ldots$	$[]$
240.d3	240d8	240.d	240d	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 $	$ - 2^{12} \cdot 3^{16} \cdot 5 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.101	2B	$480$	$768$	$13$	$1$	$1$		$3$	$256$	$0.984016$	$-147281603041/215233605$	$1.05949$	$6.43964$	$[0, 1, 0, -1760, 52788]$	$y^2=x^3+x^2-1760x+52788$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.ba.2.2, 16.96.0-16.u.2.4, 20.24.0-20.h.1.2, $\ldots$	$[]$
720.c3	720h8	720.c	720h	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{22} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	32.96.0.67	2B	$480$	$768$	$13$	$5.201251375$	$1$		$3$	$2048$	$1.533323$	$-147281603041/215233605$	$1.05949$	$6.36623$	$[0, 0, 0, -15843, -1441118]$	$y^2=x^3-15843x-1441118$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.2, 16.48.0.u.2, $\ldots$	$[(279, 3982)]$
735.c3	735e8	735.c	735e	$8$	$16$	$ 3 \cdot 5 \cdot 7^{2} $	$ - 3^{16} \cdot 5 \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$3360$	$768$	$13$	$0.172294519$	$1$		$12$	$1536$	$1.263824$	$-147281603041/215233605$	$1.05949$	$5.85633$	$[1, 0, 0, -5391, 285606]$	$y^2+xy=x^3-5391x+285606$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(-45, 684)]$
960.a3	960i8	960.a	960i	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5 $	$ - 2^{18} \cdot 3^{16} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.291	2B	$480$	$768$	$13$	$1$	$1$		$1$	$2048$	$1.330591$	$-147281603041/215233605$	$1.05949$	$5.74525$	$[0, -1, 0, -7041, 429345]$	$y^2=x^3-x^2-7041x+429345$	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.5, 16.96.0-16.u.2.1, 20.12.0.h.1, $\ldots$	$[]$
960.l3	960g8	960.l	960g	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5 $	$ - 2^{18} \cdot 3^{16} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.227	2B	$480$	$768$	$13$	$1$	$1$		$1$	$2048$	$1.330591$	$-147281603041/215233605$	$1.05949$	$5.74525$	$[0, 1, 0, -7041, -429345]$	$y^2=x^3+x^2-7041x-429345$	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.1, 16.96.0-16.u.2.2, 20.12.0.h.1, $\ldots$	$[]$
1200.e3	1200j8	1200.e	1200j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{12} \cdot 3^{16} \cdot 5^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.173	2B	$480$	$768$	$13$	$1$	$1$		$1$	$6144$	$1.788736$	$-147281603041/215233605$	$1.05949$	$6.33984$	$[0, -1, 0, -44008, 6686512]$	$y^2=x^3-x^2-44008x+6686512$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.3, 16.96.0-16.u.2.6, 20.24.0-20.h.1.1, $\ldots$	$[]$
1815.d3	1815a8	1815.d	1815a	$8$	$16$	$ 3 \cdot 5 \cdot 11^{2} $	$ - 3^{16} \cdot 5 \cdot 11^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$5280$	$768$	$13$	$6.664295827$	$1$		$0$	$5120$	$1.489817$	$-147281603041/215233605$	$1.05949$	$5.51224$	$[1, 1, 0, -13312, 1104481]$	$y^2+xy=x^3+x^2-13312x+1104481$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(6871/6, 488797/6)]$
2205.i3	2205j8	2205.i	2205j	$8$	$16$	$ 3^{2} \cdot 5 \cdot 7^{2} $	$ - 3^{22} \cdot 5 \cdot 7^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$3360$	$768$	$13$	$1$	$4$	$2$	$0$	$12288$	$1.813131$	$-147281603041/215233605$	$1.05949$	$5.87683$	$[1, -1, 0, -48519, -7711362]$	$y^2+xy=x^3-x^2-48519x-7711362$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
2535.j3	2535a8	2535.j	2535a	$8$	$16$	$ 3 \cdot 5 \cdot 13^{2} $	$ - 3^{16} \cdot 5 \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$6240$	$768$	$13$	$16.45312041$	$1$		$0$	$9216$	$1.573345$	$-147281603041/215233605$	$1.05949$	$5.40515$	$[1, 1, 0, -18593, -1840002]$	$y^2+xy=x^3+x^2-18593x-1840002$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(132567229/732, 1113712635343/732)]$
2880.y3	2880r8	2880.y	2880r	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5 $	$ - 2^{18} \cdot 3^{22} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	32.96.0.66	2B	$480$	$768$	$13$	$5.298196352$	$1$		$3$	$16384$	$1.879896$	$-147281603041/215233605$	$1.05949$	$5.78038$	$[0, 0, 0, -63372, 11528944]$	$y^2=x^3-63372x+11528944$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(-120, 4172)]$
2880.bc3	2880bd8	2880.bc	2880bd	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5 $	$ - 2^{18} \cdot 3^{22} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	32.96.0.66	2B	$480$	$768$	$13$	$1$	$4$	$2$	$1$	$16384$	$1.879896$	$-147281603041/215233605$	$1.05949$	$5.78038$	$[0, 0, 0, -63372, -11528944]$	$y^2=x^3-63372x-11528944$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
3600.u3	3600bf8	3600.u	3600bf	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} $	$ - 2^{12} \cdot 3^{22} \cdot 5^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	32.96.0.65	2B	$480$	$768$	$13$	$9.603901418$	$1$		$1$	$49152$	$2.338043$	$-147281603041/215233605$	$1.05949$	$6.29425$	$[0, 0, 0, -396075, -180139750]$	$y^2=x^3-396075x-180139750$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0.u.2, $\ldots$	$[(96815/11, 5187350/11)]$
3675.j3	3675e8	3675.j	3675e	$8$	$16$	$ 3 \cdot 5^{2} \cdot 7^{2} $	$ - 3^{16} \cdot 5^{7} \cdot 7^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$3360$	$768$	$13$	$1$	$1$		$0$	$36864$	$2.068542$	$-147281603041/215233605$	$1.05949$	$5.88450$	$[1, 1, 0, -134775, 35700750]$	$y^2+xy=x^3+x^2-134775x+35700750$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
4335.c3	4335d8	4335.c	4335d	$8$	$16$	$ 3 \cdot 5 \cdot 17^{2} $	$ - 3^{16} \cdot 5 \cdot 17^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$8160$	$768$	$13$	$1$	$1$		$0$	$20480$	$1.707476$	$-147281603041/215233605$	$1.05949$	$5.25106$	$[1, 0, 0, -31796, -4099995]$	$y^2+xy=x^3-31796x-4099995$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
4800.t3	4800b8	4800.t	4800b	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5^{2} $	$ - 2^{18} \cdot 3^{16} \cdot 5^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.295	2B	$480$	$768$	$13$	$14.85962321$	$1$		$1$	$49152$	$2.135311$	$-147281603041/215233605$	$1.05949$	$5.79362$	$[0, -1, 0, -176033, -53316063]$	$y^2=x^3-x^2-176033x-53316063$	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.4, 16.96.0-16.u.2.8, 20.12.0.h.1, $\ldots$	$[(24213883/123, 114139312300/123)]$
4800.bz3	4800cd8	4800.bz	4800cd	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5^{2} $	$ - 2^{18} \cdot 3^{16} \cdot 5^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.230	2B	$480$	$768$	$13$	$0.537222968$	$1$		$11$	$49152$	$2.135311$	$-147281603041/215233605$	$1.05949$	$5.79362$	$[0, 1, 0, -176033, 53316063]$	$y^2=x^3+x^2-176033x+53316063$	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.2.8, 16.96.0-16.u.2.7, 20.12.0.h.1, $\ldots$	$[(-41, 7776)]$
5415.j3	5415k8	5415.j	5415k	$8$	$16$	$ 3 \cdot 5 \cdot 19^{2} $	$ - 3^{16} \cdot 5 \cdot 19^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$9120$	$768$	$13$	$1$	$1$		$0$	$27648$	$1.763088$	$-147281603041/215233605$	$1.05949$	$5.19281$	$[1, 0, 1, -39718, 5716961]$	$y^2+xy+y=x^3-39718x+5716961$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
5445.c3	5445g8	5445.c	5445g	$8$	$16$	$ 3^{2} \cdot 5 \cdot 11^{2} $	$ - 3^{22} \cdot 5 \cdot 11^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$5280$	$768$	$13$	$9.352879577$	$1$		$0$	$40960$	$2.039124$	$-147281603041/215233605$	$1.05949$	$5.57453$	$[1, -1, 1, -119813, -29940798]$	$y^2+xy+y=x^3-x^2-119813x-29940798$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(123237/4, 42968765/4)]$
7605.g3	7605q8	7605.g	7605q	$8$	$16$	$ 3^{2} \cdot 5 \cdot 13^{2} $	$ - 3^{22} \cdot 5 \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$6240$	$768$	$13$	$5.070437301$	$1$		$0$	$73728$	$2.122650$	$-147281603041/215233605$	$1.05949$	$5.47827$	$[1, -1, 1, -167342, 49512714]$	$y^2+xy+y=x^3-x^2-167342x+49512714$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(651/2, 40581/2)]$
7935.d3	7935b8	7935.d	7935b	$8$	$16$	$ 3 \cdot 5 \cdot 23^{2} $	$ - 3^{16} \cdot 5 \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$11040$	$768$	$13$	$1$	$1$		$0$	$50688$	$1.858616$	$-147281603041/215233605$	$1.05949$	$5.09949$	$[1, 1, 1, -58201, 10122788]$	$y^2+xy+y=x^3+x^2-58201x+10122788$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
9075.g3	9075l8	9075.g	9075l	$8$	$16$	$ 3 \cdot 5^{2} \cdot 11^{2} $	$ - 3^{16} \cdot 5^{7} \cdot 11^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$5280$	$768$	$13$	$0.471890948$	$1$		$10$	$122880$	$2.294537$	$-147281603041/215233605$	$1.05949$	$5.59838$	$[1, 0, 0, -332813, 138725742]$	$y^2+xy=x^3-332813x+138725742$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(187, 9019)]$
11025.p3	11025z8	11025.p	11025z	$8$	$16$	$ 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ - 3^{22} \cdot 5^{7} \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$3360$	$768$	$13$	$2.617916422$	$1$		$4$	$294912$	$2.617851$	$-147281603041/215233605$	$1.05949$	$5.89813$	$[1, -1, 1, -1212980, -965133228]$	$y^2+xy+y=x^3-x^2-1212980x-965133228$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(1409, 10320)]$
11760.p3	11760bq8	11760.p	11760bq	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} $	$ - 2^{12} \cdot 3^{16} \cdot 5 \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$3360$	$768$	$13$	$7.392952009$	$1$		$1$	$98304$	$1.956972$	$-147281603041/215233605$	$1.05949$	$5.01136$	$[0, -1, 0, -86256, -18278784]$	$y^2=x^3-x^2-86256x-18278784$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(21010/3, 3018302/3)]$
12615.f3	12615f8	12615.f	12615f	$8$	$16$	$ 3 \cdot 5 \cdot 29^{2} $	$ - 3^{16} \cdot 5 \cdot 29^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$13920$	$768$	$13$	$3.478323460$	$1$		$2$	$100352$	$1.974518$	$-147281603041/215233605$	$1.05949$	$4.99641$	$[1, 0, 1, -92528, -20347657]$	$y^2+xy+y=x^3-92528x-20347657$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(737, 17292)]$
12675.n3	12675x8	12675.n	12675x	$8$	$16$	$ 3 \cdot 5^{2} \cdot 13^{2} $	$ - 3^{16} \cdot 5^{7} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$6240$	$768$	$13$	$1$	$1$		$0$	$221184$	$2.378063$	$-147281603041/215233605$	$1.05949$	$5.50648$	$[1, 0, 0, -464838, -229070583]$	$y^2+xy=x^3-464838x-229070583$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
13005.p3	13005n8	13005.p	13005n	$8$	$16$	$ 3^{2} \cdot 5 \cdot 17^{2} $	$ - 3^{22} \cdot 5 \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$8160$	$768$	$13$	$12.34026411$	$1$		$0$	$163840$	$2.256783$	$-147281603041/215233605$	$1.05949$	$5.33791$	$[1, -1, 0, -286164, 110699865]$	$y^2+xy=x^3-x^2-286164x+110699865$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(3297061/52, 5491831047/52)]$
14400.cj3	14400y8	14400.cj	14400y	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} $	$ - 2^{18} \cdot 3^{22} \cdot 5^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	32.96.0.68	2B	$480$	$768$	$13$	$1$	$1$		$1$	$393216$	$2.684616$	$-147281603041/215233605$	$1.05949$	$5.81730$	$[0, 0, 0, -1584300, 1441118000]$	$y^2=x^3-1584300x+1441118000$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
14400.cz3	14400dp8	14400.cz	14400dp	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} $	$ - 2^{18} \cdot 3^{22} \cdot 5^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	32.96.0.68	2B	$480$	$768$	$13$	$5.036899059$	$1$		$3$	$393216$	$2.684616$	$-147281603041/215233605$	$1.05949$	$5.81730$	$[0, 0, 0, -1584300, -1441118000]$	$y^2=x^3-1584300x-1441118000$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(26810, 4384800)]$
14415.d3	14415g8	14415.d	14415g	$8$	$16$	$ 3 \cdot 5 \cdot 31^{2} $	$ - 3^{16} \cdot 5 \cdot 31^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$14880$	$768$	$13$	$1$	$1$		$0$	$122880$	$2.007862$	$-147281603041/215233605$	$1.05949$	$4.96861$	$[1, 0, 0, -105730, 24836297]$	$y^2+xy=x^3-105730x+24836297$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
16245.c3	16245d8	16245.c	16245d	$8$	$16$	$ 3^{2} \cdot 5 \cdot 19^{2} $	$ - 3^{22} \cdot 5 \cdot 19^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$9120$	$768$	$13$	$16.44430019$	$1$		$0$	$221184$	$2.312397$	$-147281603041/215233605$	$1.05949$	$5.28427$	$[1, -1, 1, -357458, -154357954]$	$y^2+xy+y=x^3-x^2-357458x-154357954$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(257475799/122, 4113143706683/122)]$
20535.f3	20535a8	20535.f	20535a	$8$	$16$	$ 3 \cdot 5 \cdot 37^{2} $	$ - 3^{16} \cdot 5 \cdot 37^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$17760$	$768$	$13$	$33.32714067$	$1$		$0$	$193536$	$2.096329$	$-147281603041/215233605$	$1.05949$	$4.89845$	$[1, 1, 0, -150618, -42306363]$	$y^2+xy=x^3+x^2-150618x-42306363$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(24080104520276079/368530, 3732261230228320443036207/368530)]$
21675.s3	21675c7	21675.s	21675c	$8$	$16$	$ 3 \cdot 5^{2} \cdot 17^{2} $	$ - 3^{16} \cdot 5^{7} \cdot 17^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$8160$	$768$	$13$	$36.36573288$	$1$		$0$	$491520$	$2.512196$	$-147281603041/215233605$	$1.05949$	$5.37179$	$[1, 1, 0, -794900, -512499375]$	$y^2+xy=x^3+x^2-794900x-512499375$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(409264570028551525/14142156, 223997178235413405925164425/14142156)]$
23805.s3	23805t7	23805.s	23805t	$8$	$16$	$ 3^{2} \cdot 5 \cdot 23^{2} $	$ - 3^{22} \cdot 5 \cdot 23^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$11040$	$768$	$13$	$1$	$4$	$2$	$0$	$405504$	$2.407925$	$-147281603041/215233605$	$1.05949$	$5.19766$	$[1, -1, 0, -523809, -273839090]$	$y^2+xy=x^3-x^2-523809x-273839090$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
25215.f3	25215h7	25215.f	25215h	$8$	$16$	$ 3 \cdot 5 \cdot 41^{2} $	$ - 3^{16} \cdot 5 \cdot 41^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$19680$	$768$	$13$	$2.706065934$	$1$		$0$	$266240$	$2.147655$	$-147281603041/215233605$	$1.05949$	$4.86000$	$[1, 0, 0, -184945, -57494170]$	$y^2+xy=x^3-184945x-57494170$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(15443/2, 1890811/2)]$
27075.f3	27075g7	27075.f	27075g	$8$	$16$	$ 3 \cdot 5^{2} \cdot 19^{2} $	$ - 3^{16} \cdot 5^{7} \cdot 19^{6} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$9120$	$768$	$13$	$6.857504831$	$1$		$12$	$663552$	$2.567806$	$-147281603041/215233605$	$1.05949$	$5.32009$	$[1, 1, 1, -992938, 714620156]$	$y^2+xy+y=x^3+x^2-992938x+714620156$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(-800, 31987), (389, 19488)]$
27225.bp3	27225bi7	27225.bp	27225bi	$8$	$16$	$ 3^{2} \cdot 5^{2} \cdot 11^{2} $	$ - 3^{22} \cdot 5^{7} \cdot 11^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$5280$	$768$	$13$	$26.31897150$	$1$		$0$	$983040$	$2.843842$	$-147281603041/215233605$	$1.05949$	$5.64158$	$[1, -1, 0, -2995317, -3745595034]$	$y^2+xy=x^3-x^2-2995317x-3745595034$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(1935997982293/29636, 464114639477799573/29636)]$
27735.k3	27735g7	27735.k	27735g	$8$	$16$	$ 3 \cdot 5 \cdot 43^{2} $	$ - 3^{16} \cdot 5 \cdot 43^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$20640$	$768$	$13$	$1.620411224$	$1$		$0$	$322560$	$2.171471$	$-147281603041/215233605$	$1.05949$	$4.84268$	$[1, 0, 1, -203429, 66290321]$	$y^2+xy+y=x^3-203429x+66290321$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(2379/2, 97463/2)]$
29040.df3	29040dg7	29040.df	29040dg	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{16} \cdot 5 \cdot 11^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$5280$	$768$	$13$	$4.497953220$	$1$		$3$	$327680$	$2.182964$	$-147281603041/215233605$	$1.05949$	$4.83443$	$[0, 1, 0, -213000, -71112780]$	$y^2=x^3+x^2-213000x-71112780$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(4548, 305046)]$
33135.d3	33135a7	33135.d	33135a	$8$	$16$	$ 3 \cdot 5 \cdot 47^{2} $	$ - 3^{16} \cdot 5 \cdot 47^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$22560$	$768$	$13$	$1$	$1$		$0$	$412160$	$2.215942$	$-147281603041/215233605$	$1.05949$	$4.81118$	$[1, 1, 1, -243036, 86485074]$	$y^2+xy+y=x^3+x^2-243036x+86485074$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
35280.do3	35280fr7	35280.do	35280fr	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ - 2^{12} \cdot 3^{22} \cdot 5 \cdot 7^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$3360$	$768$	$13$	$4.430720757$	$1$		$3$	$786432$	$2.506279$	$-147281603041/215233605$	$1.05949$	$5.11509$	$[0, 0, 0, -776307, 494303474]$	$y^2=x^3-776307x+494303474$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(119, 20090)]$
37845.d3	37845d7	37845.d	37845d	$8$	$16$	$ 3^{2} \cdot 5 \cdot 29^{2} $	$ - 3^{22} \cdot 5 \cdot 29^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$13920$	$768$	$13$	$1$	$1$		$0$	$802816$	$2.523823$	$-147281603041/215233605$	$1.05949$	$5.10101$	$[1, -1, 1, -832748, 549386732]$	$y^2+xy+y=x^3-x^2-832748x+549386732$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
38025.cj3	38025bc7	38025.cj	38025bc	$8$	$16$	$ 3^{2} \cdot 5^{2} \cdot 13^{2} $	$ - 3^{22} \cdot 5^{7} \cdot 13^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$6240$	$768$	$13$	$1$	$1$		$0$	$1769472$	$2.927368$	$-147281603041/215233605$	$1.05949$	$5.55790$	$[1, -1, 0, -4183542, 6184905741]$	$y^2+xy=x^3-x^2-4183542x+6184905741$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
39675.bk3	39675bc7	39675.bk	39675bc	$8$	$16$	$ 3 \cdot 5^{2} \cdot 23^{2} $	$ - 3^{16} \cdot 5^{7} \cdot 23^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$11040$	$768$	$13$	$1.893982474$	$1$		$4$	$1216512$	$2.663334$	$-147281603041/215233605$	$1.05949$	$5.23637$	$[1, 0, 1, -1455026, 1268258573]$	$y^2+xy+y=x^3-1455026x+1268258573$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(-1083, 40216)]$
40560.bv3	40560ca7	40560.bv	40560ca	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{16} \cdot 5 \cdot 13^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$6240$	$768$	$13$	$1.791739238$	$1$		$5$	$589824$	$2.266491$	$-147281603041/215233605$	$1.05949$	$4.77667$	$[0, 1, 0, -297496, 117165140]$	$y^2=x^3+x^2-297496x+117165140$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(44, 10206)]$
42135.k3	42135f7	42135.k	42135f	$8$	$16$	$ 3 \cdot 5 \cdot 53^{2} $	$ - 3^{16} \cdot 5 \cdot 53^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$25440$	$768$	$13$	$1$	$1$		$0$	$585728$	$2.276016$	$-147281603041/215233605$	$1.05949$	$4.77031$	$[1, 0, 1, -309049, -124186243]$	$y^2+xy+y=x^3-309049x-124186243$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[]$
43245.h3	43245b7	43245.h	43245b	$8$	$16$	$ 3^{2} \cdot 5 \cdot 31^{2} $	$ - 3^{22} \cdot 5 \cdot 31^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.134	2B	$14880$	$768$	$13$	$39.45005330$	$1$		$0$	$983040$	$2.557171$	$-147281603041/215233605$	$1.05949$	$5.07475$	$[1, -1, 0, -951570, -670580019]$	$y^2+xy=x^3-x^2-951570x-670580019$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$	$[(2825712283932547183/45900118, 2019307883902632767489313141/45900118)]$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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Abelian varieties over $\F_{q}$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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