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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	Manin constant

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Results (22 matches)

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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	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
6120.g1	6120a2	6120.g	6120a	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 17 $	$ 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$4608$	$0.638761$	$3572225388/265625$	$0.88811$	$3.69568$	$[0, 0, 0, -963, -10738]$	$y^2=x^3-963x-10738$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
6120.v1	6120q2	6120.v	6120q	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 17 $	$ 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$0.992845810$	$1$		$7$	$13824$	$1.188066$	$3572225388/265625$	$0.88811$	$4.45166$	$[0, 0, 0, -8667, 289926]$	$y^2=x^3-8667x+289926$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(67, 100)]$
12240.n1	12240b2	12240.n	12240b	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 $	$ 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.638761$	$3572225388/265625$	$0.88811$	$3.42352$	$[0, 0, 0, -963, 10738]$	$y^2=x^3-963x+10738$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
12240.bq1	12240d2	12240.bq	12240d	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 $	$ 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$27648$	$1.188066$	$3572225388/265625$	$0.88811$	$4.12383$	$[0, 0, 0, -8667, -289926]$	$y^2=x^3-8667x-289926$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
30600.bc1	30600bk2	30600.bc	30600bk	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ 2^{10} \cdot 3^{3} \cdot 5^{12} \cdot 17 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$5.339426006$	$1$		$11$	$110592$	$1.443480$	$3572225388/265625$	$0.88811$	$4.05474$	$[0, 0, 0, -24075, -1342250]$	$y^2=x^3-24075x-1342250$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(-85, 300), (-415/2, 1575/2)]$
30600.bm1	30600e2	30600.bm	30600e	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ 2^{10} \cdot 3^{9} \cdot 5^{12} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$331776$	$1.992786$	$3572225388/265625$	$0.88811$	$4.69292$	$[0, 0, 0, -216675, 36240750]$	$y^2=x^3-216675x+36240750$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
48960.bl1	48960a2	48960.bl	48960a	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ 2^{16} \cdot 3^{9} \cdot 5^{6} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$4.301234545$	$1$		$3$	$221184$	$1.534641$	$3572225388/265625$	$0.88811$	$3.97956$	$[0, 0, 0, -34668, 2319408]$	$y^2=x^3-34668x+2319408$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(148, 656)]$
48960.bt1	48960di2	48960.bt	48960di	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ 2^{16} \cdot 3^{9} \cdot 5^{6} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.534641$	$3572225388/265625$	$0.88811$	$3.97956$	$[0, 0, 0, -34668, -2319408]$	$y^2=x^3-34668x-2319408$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
48960.eo1	48960du2	48960.eo	48960du	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ 2^{16} \cdot 3^{3} \cdot 5^{6} \cdot 17 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$0.899486356$	$1$		$21$	$73728$	$0.985334$	$3572225388/265625$	$0.88811$	$3.36915$	$[0, 0, 0, -3852, 85904]$	$y^2=x^3-3852x+85904$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(58, 240), (13, 195)]$
48960.er1	48960u2	48960.er	48960u	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 $	$ 2^{16} \cdot 3^{3} \cdot 5^{6} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1.836547724$	$1$		$5$	$73728$	$0.985334$	$3572225388/265625$	$0.88811$	$3.36915$	$[0, 0, 0, -3852, -85904]$	$y^2=x^3-3852x-85904$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(-43, 15)]$
61200.dq1	61200g2	61200.dq	61200g	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ 2^{10} \cdot 3^{9} \cdot 5^{12} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$663552$	$1.992786$	$3572225388/265625$	$0.88811$	$4.39779$	$[0, 0, 0, -216675, -36240750]$	$y^2=x^3-216675x-36240750$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
61200.ec1	61200a2	61200.ec	61200a	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ 2^{10} \cdot 3^{3} \cdot 5^{12} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$2.828138060$	$1$		$3$	$221184$	$1.443480$	$3572225388/265625$	$0.88811$	$3.79974$	$[0, 0, 0, -24075, 1342250]$	$y^2=x^3-24075x+1342250$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(10, 1050)]$
104040.p1	104040bq2	104040.p	104040bq	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 17^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$3981312$	$2.604675$	$3572225388/265625$	$0.88811$	$4.83138$	$[0, 0, 0, -2504763, 1424406438]$	$y^2=x^3-2504763x+1424406438$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
104040.cm1	104040f2	104040.cm	104040f	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 17^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$1327104$	$2.055367$	$3572225388/265625$	$0.88811$	$4.26080$	$[0, 0, 0, -278307, -52755794]$	$y^2=x^3-278307x-52755794$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
208080.cf1	208080hf2	208080.cf	208080hf	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 17^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$8.537465614$	$1$		$1$	$7962624$	$2.604675$	$3572225388/265625$	$0.88811$	$4.55791$	$[0, 0, 0, -2504763, -1424406438]$	$y^2=x^3-2504763x-1424406438$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(3894139/7, 7682992750/7)]$
208080.fg1	208080gx2	208080.fg	208080gx	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} $	$ 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 17^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$2654208$	$2.055367$	$3572225388/265625$	$0.88811$	$4.01963$	$[0, 0, 0, -278307, 52755794]$	$y^2=x^3-278307x+52755794$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
244800.jd1	244800jd2	244800.jd	244800jd	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ 2^{16} \cdot 3^{3} \cdot 5^{12} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.790054$	$3572225388/265625$	$0.88811$	$3.71039$	$[0, 0, 0, -96300, 10738000]$	$y^2=x^3-96300x+10738000$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
244800.jf1	244800jf2	244800.jf	244800jf	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ 2^{16} \cdot 3^{9} \cdot 5^{12} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$4$	$2$	$1$	$5308416$	$2.339359$	$3572225388/265625$	$0.88811$	$4.24163$	$[0, 0, 0, -866700, 289926000]$	$y^2=x^3-866700x+289926000$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
244800.kh1	244800kh2	244800.kh	244800kh	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ 2^{16} \cdot 3^{3} \cdot 5^{12} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$8.023826380$	$1$		$1$	$1769472$	$1.790054$	$3572225388/265625$	$0.88811$	$3.71039$	$[0, 0, 0, -96300, -10738000]$	$y^2=x^3-96300x-10738000$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(4516/3, 221464/3)]$
244800.ki1	244800ki2	244800.ki	244800ki	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 $	$ 2^{16} \cdot 3^{9} \cdot 5^{12} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$7.014826124$	$1$		$3$	$5308416$	$2.339359$	$3572225388/265625$	$0.88811$	$4.24163$	$[0, 0, 0, -866700, -289926000]$	$y^2=x^3-866700x-289926000$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(1696, 55844)]$
299880.bi1	299880bi2	299880.bi	299880bi	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 $	$ 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \cdot 17 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$1$	$1$		$1$	$5308416$	$2.161022$	$3572225388/265625$	$0.88811$	$4.00368$	$[0, 0, 0, -424683, -99444618]$	$y^2=x^3-424683x-99444618$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[ ]$
299880.dd1	299880dd2	299880.dd	299880dd	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 $	$ 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 17 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1020$	$12$	$0$	$0.790221974$	$1$		$7$	$1769472$	$1.611715$	$3572225388/265625$	$0.88811$	$3.48099$	$[0, 0, 0, -47187, 3683134]$	$y^2=x^3-47187x+3683134$	2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?	$[(63, 980)]$

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Elliptic 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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