Elliptic curve search results

Results (23 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	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
1995.b2	1995c5	1995.b	1995c	$6$	$8$	\( 3 \cdot 5 \cdot 7 \cdot 19 \)	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.24.0.55	2B	$31920$	$192$	$1$	$1$	$1$		$0$	$5632$	$1.337484$	$335414091635204401/37448756505405$	$0.96511$	$5.31087$	$[1, 1, 1, -14475, -608220]$	\(y^2+xy+y=x^3+x^2-14475x-608220\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 10.6.0.a.1, 20.24.0-20.g.1.1, $\ldots$	$[]$
5985.i2	5985h5	5985.i	5985h	$6$	$8$	\( 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 3^{8} \cdot 5 \cdot 7^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$31920$	$192$	$1$	$1$	$1$		$0$	$45056$	$1.886789$	$335414091635204401/37448756505405$	$0.96511$	$5.39792$	$[1, -1, 0, -130275, 16291660]$	\(y^2+xy=x^3-x^2-130275x+16291660\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$	$[]$
9975.q2	9975o5	9975.q	9975o	$6$	$8$	\( 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 3^{2} \cdot 5^{7} \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.56	2B	$31920$	$192$	$1$	$4.319402835$	$1$		$0$	$135168$	$2.142204$	$335414091635204401/37448756505405$	$0.96511$	$5.43133$	$[1, 0, 1, -361876, -75303727]$	\(y^2+xy+y=x^3-361876x-75303727\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 10.6.0.a.1, 20.24.0-20.g.1.1, $\ldots$	$[(-1337/2, 24433/2)]$
13965.g2	13965s5	13965.g	13965s	$6$	$8$	\( 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 3^{2} \cdot 5 \cdot 7^{8} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$31920$	$192$	$1$	$1$	$1$		$0$	$270336$	$2.310440$	$335414091635204401/37448756505405$	$0.96511$	$5.45137$	$[1, 0, 0, -709276, 206491571]$	\(y^2+xy=x^3-709276x+206491571\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[]$
29925.p2	29925bd6	29925.p	29925bd	$6$	$8$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 3^{8} \cdot 5^{7} \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$31920$	$192$	$1$	$5.254321659$	$1$		$2$	$1081344$	$2.691509$	$335414091635204401/37448756505405$	$0.96511$	$5.49194$	$[1, -1, 1, -3256880, 2033200622]$	\(y^2+xy+y=x^3-x^2-3256880x+2033200622\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$	$[(2359, 85270)]$
31920.bw2	31920ce6	31920.bw	31920ce	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{12} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19^{8} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.45	2B	$31920$	$192$	$1$	$1$	$1$		$3$	$360448$	$2.030632$	$335414091635204401/37448756505405$	$0.96511$	$4.69308$	$[0, 1, 0, -231600, 38462868]$	\(y^2=x^3+x^2-231600x+38462868\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 10.6.0.a.1, 20.24.0-20.g.1.2, $\ldots$	$[]$
37905.s2	37905t6	37905.s	37905t	$6$	$8$	\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 19^{14} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.14	2B	$31920$	$192$	$1$	$1$	$9$	$3$	$0$	$2027520$	$2.809704$	$335414091635204401/37448756505405$	$0.96511$	$5.50334$	$[1, 0, 1, -5225483, 4129975901]$	\(y^2+xy+y=x^3-5225483x+4129975901\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 16.24.0-8.n.1.6, $\ldots$	$[]$
41895.bq2	41895bu6	41895.bq	41895bu	$6$	$8$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 3^{8} \cdot 5 \cdot 7^{8} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.89	2B	$31920$	$192$	$1$	$8.970516325$	$1$		$0$	$2162688$	$2.859745$	$335414091635204401/37448756505405$	$0.96511$	$5.50801$	$[1, -1, 0, -6383484, -5575272417]$	\(y^2+xy=x^3-x^2-6383484x-5575272417\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(49351/2, 10664695/2)]$
69825.bt2	69825p6	69825.bt	69825p	$6$	$8$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 3^{2} \cdot 5^{7} \cdot 7^{8} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$31920$	$192$	$1$	$3.608454650$	$1$		$2$	$6488064$	$3.115158$	$335414091635204401/37448756505405$	$0.96511$	$5.53054$	$[1, 1, 0, -17731900, 25811446375]$	\(y^2+xy=x^3+x^2-17731900x+25811446375\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(70, 156715)]$
95760.cp2	95760dz6	95760.cp	95760dz	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{12} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$31920$	$192$	$1$	$1.805338081$	$1$		$5$	$2883584$	$2.579937$	$335414091635204401/37448756505405$	$0.96511$	$4.81827$	$[0, 0, 0, -2084403, -1040581838]$	\(y^2=x^3-2084403x-1040581838\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$	$[(-681, 7942)]$
113715.j2	113715n6	113715.j	113715n	$6$	$8$	\( 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( 3^{8} \cdot 5 \cdot 7^{2} \cdot 19^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$31920$	$192$	$1$	$11.54084404$	$1$		$0$	$16220160$	$3.359009$	$335414091635204401/37448756505405$	$0.96511$	$5.55021$	$[1, -1, 1, -47029343, -111509349334]$	\(y^2+xy+y=x^3-x^2-47029343x-111509349334\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(-217527/8, 49613897/8)]$
127680.bo2	127680ds6	127680.bo	127680ds	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{18} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.97	2B	$31920$	$192$	$1$	$7.287763555$	$1$		$3$	$2883584$	$2.377205$	$335414091635204401/37448756505405$	$0.96511$	$4.49345$	$[0, -1, 0, -926401, 308629345]$	\(y^2=x^3-x^2-926401x+308629345\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(3720, 219835)]$
127680.do2	127680ci6	127680.do	127680ci	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{18} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.95	2B	$31920$	$192$	$1$	$2.976132849$	$1$		$3$	$2883584$	$2.377205$	$335414091635204401/37448756505405$	$0.96511$	$4.49345$	$[0, 1, 0, -926401, -308629345]$	\(y^2=x^3+x^2-926401x-308629345\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(5081, 355224)]$
159600.e2	159600ef5	159600.e	159600ef	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{12} \cdot 3^{2} \cdot 5^{7} \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.46	2B	$31920$	$192$	$1$	$1.220700469$	$1$		$11$	$8650752$	$2.835350$	$335414091635204401/37448756505405$	$0.96511$	$4.86865$	$[0, -1, 0, -5790008, 4819438512]$	\(y^2=x^3-x^2-5790008x+4819438512\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 10.6.0.a.1, 20.24.0-20.g.1.2, $\ldots$	$[(882, 19950)]$
189525.p2	189525v5	189525.p	189525v	$6$	$8$	\( 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( 3^{2} \cdot 5^{7} \cdot 7^{2} \cdot 19^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.9	2B	$31920$	$192$	$1$	$3.571137255$	$1$		$2$	$48660480$	$3.614422$	$335414091635204401/37448756505405$	$0.96511$	$5.56911$	$[1, 1, 1, -130637063, 516246987656]$	\(y^2+xy+y=x^3+x^2-130637063x+516246987656\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 16.24.0-8.n.1.4, $\ldots$	$[(-6120, 1045447)]$
209475.v2	209475v6	209475.v	209475v	$6$	$8$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( 3^{8} \cdot 5^{7} \cdot 7^{8} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.89	2B	$31920$	$192$	$1$	$1$	$1$		$0$	$51904512$	$3.664463$	$335414091635204401/37448756505405$	$0.96511$	$5.57263$	$[1, -1, 1, -159587105, -697068639228]$	\(y^2+xy+y=x^3-x^2-159587105x-697068639228\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[]$
223440.m2	223440el6	223440.m	223440el	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( 2^{12} \cdot 3^{2} \cdot 5 \cdot 7^{8} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$31920$	$192$	$1$	$5.158831847$	$1$		$3$	$17301504$	$3.003586$	$335414091635204401/37448756505405$	$0.96511$	$4.89956$	$[0, -1, 0, -11348416, -13215460544]$	\(y^2=x^3-x^2-11348416x-13215460544\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(-1990, 38514)]$
241395.cc2	241395cc5	241395.cc	241395cc	$6$	$8$	\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11^{6} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$351120$	$192$	$1$	$1.438206125$	$1$		$4$	$7208960$	$2.536430$	$335414091635204401/37448756505405$	$0.96511$	$4.41671$	$[1, 1, 0, -1751477, 800783196]$	\(y^2+xy=x^3+x^2-1751477x+800783196\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(380, 13604)]$
265335.br2	265335br6	265335.br	265335br	$6$	$8$	\( 3 \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	\( 3^{2} \cdot 5 \cdot 7^{8} \cdot 19^{14} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$31920$	$192$	$1$	$45.07712086$	$1$		$0$	$97320960$	$3.782658$	$335414091635204401/37448756505405$	$0.96511$	$5.58072$	$[1, 1, 0, -256048643, -1416837782772]$	\(y^2+xy=x^3+x^2-256048643x-1416837782772\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(218218612678131555439/71231262, 2953343193007973566852158359389/71231262)]$
337155.bj2	337155bj6	337155.bj	337155bj	$6$	$8$	\( 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 19 \)	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{6} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$414960$	$192$	$1$	$4.004037299$	$1$		$0$	$12976128$	$2.619957$	$335414091635204401/37448756505405$	$0.96511$	$4.37952$	$[1, 1, 0, -2446278, -1324027557]$	\(y^2+xy=x^3+x^2-2446278x-1324027557\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(8479/2, 431219/2)]$
383040.ks2	383040ks5	383040.ks	383040ks	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{18} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$31920$	$192$	$1$	$1$	$1$		$1$	$23068672$	$2.926510$	$335414091635204401/37448756505405$	$0.96511$	$4.62220$	$[0, 0, 0, -8337612, 8324654704]$	\(y^2=x^3-8337612x+8324654704\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[]$
383040.lx2	383040lx6	383040.lx	383040lx	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( 2^{18} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$31920$	$192$	$1$	$7.150458096$	$4$	$2$	$3$	$23068672$	$2.926510$	$335414091635204401/37448756505405$	$0.96511$	$4.62220$	$[0, 0, 0, -8337612, -8324654704]$	\(y^2=x^3-8337612x-8324654704\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$	$[(6016, 399060)]$
478800.gw2	478800gw6	478800.gw	478800gw	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{12} \cdot 3^{8} \cdot 5^{7} \cdot 7^{2} \cdot 19^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$31920$	$192$	$1$	$1$	$1$		$1$	$69206016$	$3.384655$	$335414091635204401/37448756505405$	$0.96511$	$4.96368$	$[0, 0, 0, -52110075, -130072729750]$	\(y^2=x^3-52110075x-130072729750\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$	$[]$