Elliptic curve search results

Results (29 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	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
1122.b2	1122a1	1122.b	1122a	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.379272727$	$1$		$7$	$480$	$0.430372$	$2046931732873/1181672448$	$1.02565$	$4.03644$	$[1, 1, 0, -264, -192]$	\(y^2+xy=x^3+x^2-264x-192\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-1, 9)]$
3366.l2	3366q1	3366.l	3366q	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.096754743$	$1$		$19$	$3840$	$0.979678$	$2046931732873/1181672448$	$1.02565$	$4.30205$	$[1, -1, 1, -2381, 2805]$	\(y^2+xy+y=x^3-x^2-2381x+2805\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-37, 216)]$
8976.bc2	8976bd1	8976.bc	8976bd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 11^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$11520$	$1.123520$	$2046931732873/1181672448$	$1.02565$	$4.02811$	$[0, 1, 0, -4232, 3828]$	\(y^2=x^3+x^2-4232x+3828\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
12342.x2	12342u1	12342.x	12342u	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 11^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$57600$	$1.629320$	$2046931732873/1181672448$	$1.02565$	$4.53623$	$[1, 1, 1, -32007, 95613]$	\(y^2+xy+y=x^3+x^2-32007x+95613\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
19074.i2	19074k1	19074.i	19074k	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{10} \cdot 3 \cdot 11^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.296031859$	$1$		$3$	$138240$	$1.846979$	$2046931732873/1181672448$	$1.02565$	$4.60088$	$[1, 0, 1, -76447, -408526]$	\(y^2+xy+y=x^3-76447x-408526\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-9, 532)]$
26928.q2	26928bk1	26928.q	26928bk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3^{7} \cdot 11^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.672825$	$2046931732873/1181672448$	$1.02565$	$4.24048$	$[0, 0, 0, -38091, -141446]$	\(y^2=x^3-38091x-141446\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
28050.dk2	28050dc1	28050.dk	28050dc	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 11^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$61440$	$1.235090$	$2046931732873/1181672448$	$1.02565$	$3.71070$	$[1, 0, 0, -6613, -10783]$	\(y^2+xy=x^3-6613x-10783\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
35904.i2	35904bq1	35904.i	35904bq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{28} \cdot 3 \cdot 11^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.470093$	$2046931732873/1181672448$	$1.02565$	$3.89223$	$[0, -1, 0, -16929, 47553]$	\(y^2=x^3-x^2-16929x+47553\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
35904.ca2	35904bk1	35904.ca	35904bk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \)	\( 2^{28} \cdot 3 \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.915238162$	$1$		$3$	$92160$	$1.470093$	$2046931732873/1181672448$	$1.02565$	$3.89223$	$[0, 1, 0, -16929, -47553]$	\(y^2=x^3+x^2-16929x-47553\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-22, 561)]$
37026.e2	37026l1	37026.e	37026l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 11^{9} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.099335939$	$1$		$9$	$460800$	$2.178627$	$2046931732873/1181672448$	$1.02565$	$4.68910$	$[1, -1, 0, -288063, -2869619]$	\(y^2+xy=x^3-x^2-288063x-2869619\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(894, 20849)]$
54978.p2	54978z1	54978.p	54978z	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 7^{6} \cdot 11^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$172800$	$1.403328$	$2046931732873/1181672448$	$1.02565$	$3.66688$	$[1, 0, 1, -12962, 26996]$	\(y^2+xy+y=x^3-12962x+26996\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
57222.bt2	57222bi1	57222.bt	57222bi	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{10} \cdot 3^{7} \cdot 11^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.264909862$	$1$		$3$	$1105920$	$2.396286$	$2046931732873/1181672448$	$1.02565$	$4.74119$	$[1, -1, 1, -688019, 11030195]$	\(y^2+xy+y=x^3-x^2-688019x+11030195\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(13, 1438)]$
84150.ct2	84150ch1	84150.ct	84150ch	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.237687404$	$1$		$7$	$491520$	$1.784397$	$2046931732873/1181672448$	$1.02565$	$3.93247$	$[1, -1, 0, -59517, 291141]$	\(y^2+xy=x^3-x^2-59517x+291141\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-21, 1248)]$
98736.de2	98736di1	98736.de	98736di	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 11^{9} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$5.927099383$	$1$		$1$	$1382400$	$2.322468$	$2046931732873/1181672448$	$1.02565$	$4.43927$	$[0, 1, 0, -512112, -7143468]$	\(y^2=x^3+x^2-512112x-7143468\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-17689/5, 151734/5)]$
107712.do2	107712bk1	107712.do	107712bk	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{28} \cdot 3^{7} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$7.254166268$	$1$		$1$	$737280$	$2.019398$	$2046931732873/1181672448$	$1.02565$	$4.09207$	$[0, 0, 0, -152364, 1131568]$	\(y^2=x^3-152364x+1131568\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-4104/5, 582556/5)]$
107712.ec2	107712ez1	107712.ec	107712ez	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \)	\( 2^{28} \cdot 3^{7} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.416908689$	$1$		$5$	$737280$	$2.019398$	$2046931732873/1181672448$	$1.02565$	$4.09207$	$[0, 0, 0, -152364, -1131568]$	\(y^2=x^3-152364x-1131568\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(496, 6732)]$
152592.i2	152592bq1	152592.i	152592bq	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( 2^{22} \cdot 3 \cdot 11^{3} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$3317760$	$2.540127$	$2046931732873/1181672448$	$1.02565$	$4.49619$	$[0, -1, 0, -1223144, 26145648]$	\(y^2=x^3-x^2-1223144x+26145648\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
164934.dz2	164934bp1	164934.dz	164934bp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{10} \cdot 3^{7} \cdot 7^{6} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.883913819$	$1$		$7$	$1382400$	$1.952633$	$2046931732873/1181672448$	$1.02565$	$3.88024$	$[1, -1, 1, -116654, -728899]$	\(y^2+xy+y=x^3-x^2-116654x-728899\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-47, 2179)]$
189618.ba2	189618o1	189618.ba	189618o	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 11^{3} \cdot 13^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.780403066$	$1$		$7$	$1128960$	$1.712847$	$2046931732873/1181672448$	$1.02565$	$3.59894$	$[1, 1, 1, -44704, -198463]$	\(y^2+xy+y=x^3+x^2-44704x-198463\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-59, 1525)]$
209814.cw2	209814e1	209814.cw	209814e	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \)	\( 2^{10} \cdot 3 \cdot 11^{9} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$16588800$	$3.045925$	$2046931732873/1181672448$	$1.02565$	$4.87466$	$[1, 0, 0, -9250029, 534497745]$	\(y^2+xy=x^3-9250029x+534497745\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
224400.bq2	224400eq1	224400.bq	224400eq	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 5^{6} \cdot 11^{3} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$3.378372400$	$1$		$13$	$1474560$	$1.928238$	$2046931732873/1181672448$	$1.02565$	$3.75952$	$[0, -1, 0, -105808, 690112]$	\(y^2=x^3-x^2-105808x+690112\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-72, 2816), (-303, 2200)]$
296208.bd2	296208bd1	296208.bd	296208bd	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{22} \cdot 3^{7} \cdot 11^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$11059200$	$2.871773$	$2046931732873/1181672448$	$1.02565$	$4.57536$	$[0, 0, 0, -4609011, 188264626]$	\(y^2=x^3-4609011x+188264626\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
308550.dn2	308550dn1	308550.dn	308550dn	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 11^{9} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$9.014999153$	$1$		$1$	$7372800$	$2.434040$	$2046931732873/1181672448$	$1.02565$	$4.14500$	$[1, 0, 1, -800176, 13551998]$	\(y^2+xy+y=x^3-800176x+13551998\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(188257/3, 81325489/3)]$
394944.q2	394944q1	394944.q	394944q	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{28} \cdot 3 \cdot 11^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$11059200$	$2.669041$	$2046931732873/1181672448$	$1.02565$	$4.28444$	$[0, -1, 0, -2048449, -55099295]$	\(y^2=x^3-x^2-2048449x-55099295\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
394944.fr2	394944fr1	394944.fr	394944fr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \)	\( 2^{28} \cdot 3 \cdot 11^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$11059200$	$2.669041$	$2046931732873/1181672448$	$1.02565$	$4.28444$	$[0, 1, 0, -2048449, 55099295]$	\(y^2=x^3+x^2-2048449x+55099295\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
405042.dm2	405042dm1	405042.dm	405042dm	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 17 \cdot 19^{2} \)	\( 2^{10} \cdot 3 \cdot 11^{3} \cdot 17^{2} \cdot 19^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$3421440$	$1.902592$	$2046931732873/1181672448$	$1.02565$	$3.56373$	$[1, 0, 0, -95492, 553488]$	\(y^2+xy=x^3-95492x+553488\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
439824.w2	439824w1	439824.w	439824w	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 7^{6} \cdot 11^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$2.198213030$	$1$		$3$	$4147200$	$2.096474$	$2046931732873/1181672448$	$1.02565$	$3.72019$	$[0, -1, 0, -207384, -1727760]$	\(y^2=x^3-x^2-207384x-1727760\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-422, 3234)]$
457776.eo2	457776eo1	457776.eo	457776eo	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{22} \cdot 3^{7} \cdot 11^{3} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$26542080$	$3.089432$	$2046931732873/1181672448$	$1.02565$	$4.62294$	$[0, 0, 0, -11008299, -694924198]$	\(y^2=x^3-11008299x-694924198\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[ ]$
476850.gr2	476850gr1	476850.gr	476850gr	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{10} \cdot 3 \cdot 5^{6} \cdot 11^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.100461013$	$1$		$7$	$17694720$	$2.651699$	$2046931732873/1181672448$	$1.02565$	$4.20676$	$[1, 1, 1, -1911163, -51065719]$	\(y^2+xy+y=x^3+x^2-1911163x-51065719\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(2551, 106810)]$

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