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.a6	15a3	15.a	15a	$8$	$16$	$ 3 \cdot 5 $	$ 3^{2} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	✓	$2$	16.96.0.7	2Cs	$240$	$768$	$13$	$1$	$1$		$6$	$2$	$-0.748851$	$13997521/225$	$0.96230$	$6.07610$	$[1, 1, 1, -5, 2]$	$y^2+xy+y=x^3+x^2-5x+2$	2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 16.96.0-16.d.2.3, 24.96.0-24.bb.2.5, $\ldots$	$[]$
45.a6	45a2	45.a	45a	$8$	$16$	$ 3^{2} \cdot 5 $	$ 3^{8} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.33	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$4$	$-0.199545$	$13997521/225$	$0.96230$	$6.05414$	$[1, -1, 0, -45, -104]$	$y^2+xy=x^3-x^2-45x-104$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.6, 12.24.0-4.b.1.3, 16.96.0-16.d.2.4, $\ldots$	$[]$
75.b6	75b2	75.b	75b	$8$	$16$	$ 3 \cdot 5^{2} $	$ 3^{2} \cdot 5^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.35	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$12$	$0.055868$	$13997521/225$	$0.96230$	$6.04773$	$[1, 0, 1, -126, 523]$	$y^2+xy+y=x^3-126x+523$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.3, 12.24.0-4.b.1.2, 16.96.0-16.d.2.8, $\ldots$	$[]$
225.b6	225c2	225.b	225c	$8$	$16$	$ 3^{2} \cdot 5^{2} $	$ 3^{8} \cdot 5^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.2	2Cs	$240$	$768$	$13$	$1$	$1$		$2$	$96$	$0.605174$	$13997521/225$	$0.96230$	$6.03805$	$[1, -1, 1, -1130, -14128]$	$y^2+xy+y=x^3-x^2-1130x-14128$	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.i.1.7, 16.96.0-16.d.2.10, 24.96.0-24.bb.2.16, $\ldots$	$[]$
240.d6	240d2	240.d	240d	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 $	$ 2^{12} \cdot 3^{2} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.9	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$32$	$-0.055704$	$13997521/225$	$0.96230$	$4.51994$	$[0, 1, 0, -80, -300]$	$y^2=x^3+x^2-80x-300$	2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.i.1.2, 16.96.0-16.d.2.2, 24.96.0-24.bb.2.1, $\ldots$	$[]$
720.c6	720h2	720.c	720h	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{12} \cdot 3^{8} \cdot 5^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.33	2Cs	$240$	$768$	$13$	$0.650156421$	$1$		$15$	$256$	$0.493602$	$13997521/225$	$0.96230$	$4.76708$	$[0, 0, 0, -723, 7378]$	$y^2=x^3-723x+7378$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.6, 12.24.0-4.b.1.1, 16.96.0-16.d.2.4, $\ldots$	$[(9, 40)]$
735.c6	735e2	735.c	735e	$8$	$16$	$ 3 \cdot 5 \cdot 7^{2} $	$ 3^{2} \cdot 5^{2} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$1680$	$768$	$13$	$1.378356153$	$1$		$8$	$192$	$0.224104$	$13997521/225$	$0.96230$	$4.26218$	$[1, 0, 0, -246, -1485]$	$y^2+xy=x^3-246x-1485$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(-9, 9)]$
960.a6	960i2	960.a	960i	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5 $	$ 2^{18} \cdot 3^{2} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.79	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$256$	$0.290870$	$13997521/225$	$0.96230$	$4.21309$	$[0, -1, 0, -321, -2079]$	$y^2=x^3-x^2-321x-2079$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.12, 16.96.0-16.d.2.6, 24.96.0-24.bb.2.7, $\ldots$	$[]$
960.l6	960g2	960.l	960g	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5 $	$ 2^{18} \cdot 3^{2} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.81	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$256$	$0.290870$	$13997521/225$	$0.96230$	$4.21309$	$[0, 1, 0, -321, 2079]$	$y^2=x^3+x^2-321x+2079$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.4, 16.96.0-16.d.2.5, 24.96.0-24.bb.2.3, $\ldots$	$[]$
1200.e6	1200j2	1200.e	1200j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{12} \cdot 3^{2} \cdot 5^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.61	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$768$	$0.749015$	$13997521/225$	$0.96230$	$4.85591$	$[0, -1, 0, -2008, -33488]$	$y^2=x^3-x^2-2008x-33488$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.11, 12.24.0-4.b.1.2, 16.96.0-16.d.2.9, $\ldots$	$[]$
1815.d6	1815a2	1815.d	1815a	$8$	$16$	$ 3 \cdot 5 \cdot 11^{2} $	$ 3^{2} \cdot 5^{2} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$2640$	$768$	$13$	$3.332147913$	$1$		$4$	$640$	$0.450097$	$13997521/225$	$0.96230$	$4.11013$	$[1, 1, 0, -607, -5936]$	$y^2+xy=x^3+x^2-607x-5936$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(48, 256)]$
2205.i6	2205j2	2205.i	2205j	$8$	$16$	$ 3^{2} \cdot 5 \cdot 7^{2} $	$ 3^{8} \cdot 5^{2} \cdot 7^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$1680$	$768$	$13$	$1$	$1$		$2$	$1536$	$0.773410$	$13997521/225$	$0.96230$	$4.51018$	$[1, -1, 0, -2214, 40095]$	$y^2+xy=x^3-x^2-2214x+40095$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
2535.j6	2535a2	2535.j	2535a	$8$	$16$	$ 3 \cdot 5 \cdot 13^{2} $	$ 3^{2} \cdot 5^{2} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$3120$	$768$	$13$	$2.056640051$	$1$		$6$	$1152$	$0.533624$	$13997521/225$	$0.96230$	$4.06281$	$[1, 1, 0, -848, 9027]$	$y^2+xy=x^3+x^2-848x+9027$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(14, 5)]$
2880.y6	2880r2	2880.y	2880r	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5 $	$ 2^{18} \cdot 3^{8} \cdot 5^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.49	2Cs	$240$	$768$	$13$	$2.649098176$	$1$		$7$	$2048$	$0.840176$	$13997521/225$	$0.96230$	$4.45955$	$[0, 0, 0, -2892, -59024]$	$y^2=x^3-2892x-59024$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.8, 16.96.0-16.d.2.1, 24.96.0-24.bb.2.8, $\ldots$	$[(116, 1080)]$
2880.bc6	2880bd2	2880.bc	2880bd	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5 $	$ 2^{18} \cdot 3^{8} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.49	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$2048$	$0.840176$	$13997521/225$	$0.96230$	$4.45955$	$[0, 0, 0, -2892, 59024]$	$y^2=x^3-2892x+59024$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.8, 16.96.0-16.d.2.1, 24.96.0-24.bb.2.4, $\ldots$	$[]$
3600.u6	3600bf2	3600.u	3600bf	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} $	$ 2^{12} \cdot 3^{8} \cdot 5^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.2	2Cs	$240$	$768$	$13$	$1.200487677$	$1$		$13$	$6144$	$1.298321$	$13997521/225$	$0.96230$	$5.00940$	$[0, 0, 0, -18075, 922250]$	$y^2=x^3-18075x+922250$	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.i.1.7, 16.96.0-16.d.2.10, 24.96.0-24.bb.2.12, $\ldots$	$[(95, 250)]$
3675.j6	3675e2	3675.j	3675e	$8$	$16$	$ 3 \cdot 5^{2} \cdot 7^{2} $	$ 3^{2} \cdot 5^{8} \cdot 7^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$1680$	$768$	$13$	$1$	$1$		$2$	$4608$	$1.028822$	$13997521/225$	$0.96230$	$4.60288$	$[1, 1, 0, -6150, -185625]$	$y^2+xy=x^3+x^2-6150x-185625$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
4335.c6	4335d2	4335.c	4335d	$8$	$16$	$ 3 \cdot 5 \cdot 17^{2} $	$ 3^{2} \cdot 5^{2} \cdot 17^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$4080$	$768$	$13$	$1$	$1$		$2$	$2560$	$0.667755$	$13997521/225$	$0.96230$	$3.99472$	$[1, 0, 0, -1451, 20856]$	$y^2+xy=x^3-1451x+20856$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
4800.t6	4800b2	4800.t	4800b	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5^{2} $	$ 2^{18} \cdot 3^{2} \cdot 5^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.51	2Cs	$240$	$768$	$13$	$1.857452901$	$1$		$9$	$6144$	$1.095589$	$13997521/225$	$0.96230$	$4.55238$	$[0, -1, 0, -8033, 275937]$	$y^2=x^3-x^2-8033x+275937$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.9, 16.96.0-16.d.2.12, 24.96.0-24.bb.2.13, $\ldots$	$[(-7, 576)]$
4800.bz6	4800cd2	4800.bz	4800cd	$8$	$16$	$ 2^{6} \cdot 3 \cdot 5^{2} $	$ 2^{18} \cdot 3^{2} \cdot 5^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.69	2Cs	$240$	$768$	$13$	$4.297783744$	$1$		$5$	$6144$	$1.095589$	$13997521/225$	$0.96230$	$4.55238$	$[0, 1, 0, -8033, -275937]$	$y^2=x^3+x^2-8033x-275937$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.1, 16.96.0-16.d.2.11, 24.96.0-24.bb.2.9, $\ldots$	$[(967, 29952)]$
5415.j6	5415k2	5415.j	5415k	$8$	$16$	$ 3 \cdot 5 \cdot 19^{2} $	$ 3^{2} \cdot 5^{2} \cdot 19^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$4560$	$768$	$13$	$1$	$4$	$2$	$2$	$3456$	$0.723369$	$13997521/225$	$0.96230$	$3.96898$	$[1, 0, 1, -1813, -29437]$	$y^2+xy+y=x^3-1813x-29437$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
5445.c6	5445g2	5445.c	5445g	$8$	$16$	$ 3^{2} \cdot 5 \cdot 11^{2} $	$ 3^{8} \cdot 5^{2} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$2640$	$768$	$13$	$1.169109947$	$1$		$12$	$5120$	$0.999403$	$13997521/225$	$0.96230$	$4.35148$	$[1, -1, 1, -5468, 154806]$	$y^2+xy+y=x^3-x^2-5468x+154806$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(50, 42)]$
7605.g6	7605q2	7605.g	7605q	$8$	$16$	$ 3^{2} \cdot 5 \cdot 13^{2} $	$ 3^{8} \cdot 5^{2} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$3120$	$768$	$13$	$2.535218650$	$1$		$8$	$9216$	$1.082930$	$13997521/225$	$0.96230$	$4.30096$	$[1, -1, 1, -7637, -251364]$	$y^2+xy+y=x^3-x^2-7637x-251364$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(-46, 54)]$
7935.d6	7935b2	7935.d	7935b	$8$	$16$	$ 3 \cdot 5 \cdot 23^{2} $	$ 3^{2} \cdot 5^{2} \cdot 23^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$5520$	$768$	$13$	$1$	$1$		$2$	$6336$	$0.818896$	$13997521/225$	$0.96230$	$3.92774$	$[1, 1, 1, -2656, -53056]$	$y^2+xy+y=x^3+x^2-2656x-53056$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
9075.g6	9075l2	9075.g	9075l	$8$	$16$	$ 3 \cdot 5^{2} \cdot 11^{2} $	$ 3^{2} \cdot 5^{8} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$2640$	$768$	$13$	$3.775127587$	$1$		$6$	$15360$	$1.254816$	$13997521/225$	$0.96230$	$4.44389$	$[1, 0, 0, -15188, -711633]$	$y^2+xy=x^3-15188x-711633$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(147, 414)]$
11025.p6	11025z2	11025.p	11025z	$8$	$16$	$ 3^{2} \cdot 5^{2} \cdot 7^{2} $	$ 3^{8} \cdot 5^{8} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$1680$	$768$	$13$	$1.308958211$	$1$		$12$	$36864$	$1.578129$	$13997521/225$	$0.96230$	$4.76778$	$[1, -1, 1, -55355, 4956522]$	$y^2+xy+y=x^3-x^2-55355x+4956522$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(170, 576)]$
11760.p6	11760bq2	11760.p	11760bq	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} $	$ 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$1680$	$768$	$13$	$0.924119001$	$1$		$15$	$12288$	$0.917251$	$13997521/225$	$0.96230$	$3.88880$	$[0, -1, 0, -3936, 95040]$	$y^2=x^3-x^2-3936x+95040$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(26, 98)]$
12615.f6	12615f2	12615.f	12615f	$8$	$16$	$ 3 \cdot 5 \cdot 29^{2} $	$ 3^{2} \cdot 5^{2} \cdot 29^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$6960$	$768$	$13$	$6.956646921$	$1$		$4$	$12544$	$0.934796$	$13997521/225$	$0.96230$	$3.88219$	$[1, 0, 1, -4223, 103781]$	$y^2+xy+y=x^3-4223x+103781$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(2345, 112347)]$
12675.n6	12675x2	12675.n	12675x	$8$	$16$	$ 3 \cdot 5^{2} \cdot 13^{2} $	$ 3^{2} \cdot 5^{8} \cdot 13^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$3120$	$768$	$13$	$1$	$1$		$2$	$27648$	$1.338343$	$13997521/225$	$0.96230$	$4.39282$	$[1, 0, 0, -21213, 1170792]$	$y^2+xy=x^3-21213x+1170792$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
13005.p6	13005n2	13005.p	13005n	$8$	$16$	$ 3^{2} \cdot 5 \cdot 17^{2} $	$ 3^{8} \cdot 5^{2} \cdot 17^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$4080$	$768$	$13$	$6.170132057$	$1$		$2$	$20480$	$1.217062$	$13997521/225$	$0.96230$	$4.22727$	$[1, -1, 0, -13059, -563112]$	$y^2+xy=x^3-x^2-13059x-563112$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(-4167/8, 62343/8)]$
14400.cj6	14400y2	14400.cj	14400y	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} $	$ 2^{18} \cdot 3^{8} \cdot 5^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.67	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$49152$	$1.644896$	$13997521/225$	$0.96230$	$4.71848$	$[0, 0, 0, -72300, -7378000]$	$y^2=x^3-72300x-7378000$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.5, 16.96.0-16.d.2.7, 24.96.0-24.bb.2.10, $\ldots$	$[]$
14400.cz6	14400dp2	14400.cz	14400dp	$8$	$16$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} $	$ 2^{18} \cdot 3^{8} \cdot 5^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.96.0.67	2Cs	$240$	$768$	$13$	$2.518449529$	$1$		$9$	$49152$	$1.644896$	$13997521/225$	$0.96230$	$4.71848$	$[0, 0, 0, -72300, 7378000]$	$y^2=x^3-72300x+7378000$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.5, 16.96.0-16.d.2.7, 24.96.0-24.bb.2.14, $\ldots$	$[(176, 324)]$
14415.d6	14415g2	14415.d	14415g	$8$	$16$	$ 3 \cdot 5 \cdot 31^{2} $	$ 3^{2} \cdot 5^{2} \cdot 31^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$7440$	$768$	$13$	$1$	$4$	$2$	$2$	$15360$	$0.968143$	$13997521/225$	$0.96230$	$3.86991$	$[1, 0, 0, -4825, -127600]$	$y^2+xy=x^3-4825x-127600$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
16245.c6	16245d2	16245.c	16245d	$8$	$16$	$ 3^{2} \cdot 5 \cdot 19^{2} $	$ 3^{8} \cdot 5^{2} \cdot 19^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$4560$	$768$	$13$	$2.055537524$	$1$		$6$	$27648$	$1.272675$	$13997521/225$	$0.96230$	$4.19912$	$[1, -1, 1, -16313, 794792]$	$y^2+xy+y=x^3-x^2-16313x+794792$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(33, 523)]$
20535.f6	20535a2	20535.f	20535a	$8$	$16$	$ 3 \cdot 5 \cdot 37^{2} $	$ 3^{2} \cdot 5^{2} \cdot 37^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$8880$	$768$	$13$	$4.165892584$	$1$		$4$	$24192$	$1.056608$	$13997521/225$	$0.96230$	$3.83891$	$[1, 1, 0, -6873, 213408]$	$y^2+xy=x^3+x^2-6873x+213408$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(-48, 684)]$
21675.s6	21675c2	21675.s	21675c	$8$	$16$	$ 3 \cdot 5^{2} \cdot 17^{2} $	$ 3^{2} \cdot 5^{8} \cdot 17^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$4080$	$768$	$13$	$4.545716610$	$1$		$2$	$61440$	$1.472475$	$13997521/225$	$0.96230$	$4.31798$	$[1, 1, 0, -36275, 2607000]$	$y^2+xy=x^3+x^2-36275x+2607000$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(-145/2, 15895/2)]$
23805.s6	23805t2	23805.s	23805t	$8$	$16$	$ 3^{2} \cdot 5 \cdot 23^{2} $	$ 3^{8} \cdot 5^{2} \cdot 23^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$5520$	$768$	$13$	$1$	$1$		$2$	$50688$	$1.368202$	$13997521/225$	$0.96230$	$4.15365$	$[1, -1, 0, -23904, 1408603]$	$y^2+xy=x^3-x^2-23904x+1408603$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
25215.f6	25215h2	25215.f	25215h	$8$	$16$	$ 3 \cdot 5 \cdot 41^{2} $	$ 3^{2} \cdot 5^{2} \cdot 41^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$9840$	$768$	$13$	$5.412131868$	$1$		$4$	$33280$	$1.107935$	$13997521/225$	$0.96230$	$3.82191$	$[1, 0, 0, -8440, 293567]$	$y^2+xy=x^3-8440x+293567$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(499, 10723)]$
27075.f6	27075g2	27075.f	27075g	$8$	$16$	$ 3 \cdot 5^{2} \cdot 19^{2} $	$ 3^{2} \cdot 5^{8} \cdot 19^{6} $	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$4560$	$768$	$13$	$6.857504831$	$1$		$18$	$82944$	$1.528088$	$13997521/225$	$0.96230$	$4.28925$	$[1, 1, 1, -45313, -3679594]$	$y^2+xy+y=x^3+x^2-45313x-3679594$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(-130, 252), (999/2, 5495/2)]$
27225.bp6	27225bi2	27225.bp	27225bi	$8$	$16$	$ 3^{2} \cdot 5^{2} \cdot 11^{2} $	$ 3^{8} \cdot 5^{8} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$2640$	$768$	$13$	$3.289871438$	$1$		$4$	$122880$	$1.804121$	$13997521/225$	$0.96230$	$4.61130$	$[1, -1, 0, -136692, 19214091]$	$y^2+xy=x^3-x^2-136692x+19214091$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(58, 3359)]$
27735.k6	27735g2	27735.k	27735g	$8$	$16$	$ 3 \cdot 5 \cdot 43^{2} $	$ 3^{2} \cdot 5^{2} \cdot 43^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$10320$	$768$	$13$	$12.96328979$	$1$		$2$	$40320$	$1.131748$	$13997521/225$	$0.96230$	$3.81426$	$[1, 0, 1, -9284, -340243]$	$y^2+xy+y=x^3-9284x-340243$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(-905973/133, -33080186/133)]$
29040.df6	29040dg2	29040.df	29040dg	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} $	$ 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 11^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$2640$	$768$	$13$	$2.248976610$	$1$		$7$	$40960$	$1.143244$	$13997521/225$	$0.96230$	$3.81062$	$[0, 1, 0, -9720, 360468]$	$y^2=x^3+x^2-9720x+360468$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(78, 288)]$
33135.d6	33135a2	33135.d	33135a	$8$	$16$	$ 3 \cdot 5 \cdot 47^{2} $	$ 3^{2} \cdot 5^{2} \cdot 47^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$11280$	$768$	$13$	$1$	$1$		$2$	$51520$	$1.176222$	$13997521/225$	$0.96230$	$3.80034$	$[1, 1, 1, -11091, -447912]$	$y^2+xy+y=x^3+x^2-11091x-447912$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
35280.do6	35280fr2	35280.do	35280fr	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} $	$ 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$1680$	$768$	$13$	$2.215360378$	$1$		$9$	$98304$	$1.466557$	$13997521/225$	$0.96230$	$4.11030$	$[0, 0, 0, -35427, -2530654]$	$y^2=x^3-35427x-2530654$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(-103, 160)]$
37845.d6	37845d2	37845.d	37845d	$8$	$16$	$ 3^{2} \cdot 5 \cdot 29^{2} $	$ 3^{8} \cdot 5^{2} \cdot 29^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$6960$	$768$	$13$	$1$	$1$		$2$	$100352$	$1.484102$	$13997521/225$	$0.96230$	$4.10291$	$[1, -1, 1, -38003, -2802094]$	$y^2+xy+y=x^3-x^2-38003x-2802094$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
38025.cj6	38025bc2	38025.cj	38025bc	$8$	$16$	$ 3^{2} \cdot 5^{2} \cdot 13^{2} $	$ 3^{8} \cdot 5^{8} \cdot 13^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$3120$	$768$	$13$	$1$	$1$		$2$	$221184$	$1.887650$	$13997521/225$	$0.96230$	$4.56025$	$[1, -1, 0, -190917, -31611384]$	$y^2+xy=x^3-x^2-190917x-31611384$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
39675.bk6	39675bc2	39675.bk	39675bc	$8$	$16$	$ 3 \cdot 5^{2} \cdot 23^{2} $	$ 3^{2} \cdot 5^{8} \cdot 23^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$5520$	$768$	$13$	$15.15185979$	$1$		$2$	$152064$	$1.623615$	$13997521/225$	$0.96230$	$4.24272$	$[1, 0, 1, -66401, -6499177]$	$y^2+xy+y=x^3-66401x-6499177$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(978046927/54, 30560782100239/54)]$
40560.bv6	40560ca2	40560.bv	40560ca	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} $	$ 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$3120$	$768$	$13$	$3.583478477$	$1$		$7$	$73728$	$1.226770$	$13997521/225$	$0.96230$	$3.78509$	$[0, 1, 0, -13576, -604876]$	$y^2=x^3+x^2-13576x-604876$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(182, 1728)]$
42135.k6	42135f2	42135.k	42135f	$8$	$16$	$ 3 \cdot 5 \cdot 53^{2} $	$ 3^{2} \cdot 5^{2} \cdot 53^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$12720$	$768$	$13$	$1$	$1$		$2$	$73216$	$1.236296$	$13997521/225$	$0.96230$	$3.78228$	$[1, 0, 1, -14104, 634481]$	$y^2+xy+y=x^3-14104x+634481$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[]$
43245.h6	43245b2	43245.h	43245b	$8$	$16$	$ 3^{2} \cdot 5 \cdot 31^{2} $	$ 3^{8} \cdot 5^{2} \cdot 31^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$		$2$	16.48.0.3	2Cs	$7440$	$768$	$13$	$4.931256663$	$1$		$2$	$122880$	$1.517448$	$13997521/225$	$0.96230$	$4.08913$	$[1, -1, 0, -43425, 3445200]$	$y^2+xy=x^3-x^2-43425x+3445200$	2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$	$[(4279/2, 270567/2)]$

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Elliptic curves over $\Q$
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Genus 2 curves over $\Q$
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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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