Elliptic curve search results

Results (28 matches)

  Download displayed columns for results to

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
3300.c1	3300g1	3300.c	3300g	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{9} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$11520$	$1.504936$	$57537462272/10673289$	$1.14195$	$5.18821$	$[0, -1, 0, -25333, -1270838]$	\(y^2=x^3-x^2-25333x-1270838\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
3300.o1	3300q1	3300.o	3300q	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$0.129996898$	$1$		$15$	$2304$	$0.700218$	$57537462272/10673289$	$1.14195$	$3.99628$	$[0, 1, 0, -1013, -10572]$	\(y^2=x^3+x^2-1013x-10572\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(-23, 33)]$
9900.l1	9900w1	9900.l	9900w	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{3} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$18432$	$1.249525$	$57537462272/10673289$	$1.14195$	$4.23555$	$[0, 0, 0, -9120, 276325]$	\(y^2=x^3-9120x+276325\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
9900.q1	9900v1	9900.q	9900v	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{9} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$92160$	$2.054245$	$57537462272/10673289$	$1.14195$	$5.28515$	$[0, 0, 0, -228000, 34540625]$	\(y^2=x^3-228000x+34540625\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
13200.o1	13200bv1	13200.o	13200bv	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1.670287206$	$1$		$3$	$9216$	$0.700218$	$57537462272/10673289$	$1.14195$	$3.41238$	$[0, -1, 0, -1013, 10572]$	\(y^2=x^3-x^2-1013x+10572\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(8, 54)]$
13200.cg1	13200cn1	13200.cg	13200cn	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{9} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$46080$	$1.504936$	$57537462272/10673289$	$1.14195$	$4.43016$	$[0, 1, 0, -25333, 1270838]$	\(y^2=x^3+x^2-25333x+1270838\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
36300.o1	36300x1	36300.o	36300x	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{9} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$1382400$	$2.703884$	$57537462272/10673289$	$1.14195$	$5.37361$	$[0, -1, 0, -3065333, 1703746662]$	\(y^2=x^3-x^2-3065333x+1703746662\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
36300.by1	36300cc1	36300.by	36300cc	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1.859794063$	$1$		$3$	$276480$	$1.899166$	$57537462272/10673289$	$1.14195$	$4.45389$	$[0, 1, 0, -122613, 13580928]$	\(y^2=x^3+x^2-122613x+13580928\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(348, 3630)]$
39600.cq1	39600ew1	39600.cq	39600ew	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{3} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$2.869510085$	$1$		$3$	$73728$	$1.249525$	$57537462272/10673289$	$1.14195$	$3.68091$	$[0, 0, 0, -9120, -276325]$	\(y^2=x^3-9120x-276325\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(185, 2090)]$
39600.dc1	39600ev1	39600.dc	39600ev	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{9} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$7.619472150$	$1$		$3$	$368640$	$2.054245$	$57537462272/10673289$	$1.14195$	$4.59307$	$[0, 0, 0, -228000, -34540625]$	\(y^2=x^3-228000x-34540625\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(137325, 50888750)]$
52800.ck1	52800bn1	52800.ck	52800bn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$73728$	$1.046791$	$57537462272/10673289$	$1.14195$	$3.35981$	$[0, -1, 0, -4053, -80523]$	\(y^2=x^3-x^2-4053x-80523\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
52800.cm1	52800fm1	52800.cm	52800fm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{9} \cdot 11^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$2.909417321$	$1$		$13$	$368640$	$1.851511$	$57537462272/10673289$	$1.14195$	$4.24784$	$[0, -1, 0, -101333, 10268037]$	\(y^2=x^3-x^2-101333x+10268037\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(293, 2376), (-4, 3267)]$
52800.fg1	52800dj1	52800.fg	52800dj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{9} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$2.291886087$	$1$		$5$	$368640$	$1.851511$	$57537462272/10673289$	$1.14195$	$4.24784$	$[0, 1, 0, -101333, -10268037]$	\(y^2=x^3+x^2-101333x-10268037\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(-242, 375)]$
52800.fu1	52800hq1	52800.fu	52800hq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$0.408300206$	$1$		$9$	$73728$	$1.046791$	$57537462272/10673289$	$1.14195$	$3.35981$	$[0, 1, 0, -4053, 80523]$	\(y^2=x^3+x^2-4053x+80523\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(78, 495)]$
108900.br1	108900df1	108900.br	108900df	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 5^{9} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$25.61240666$	$1$		$1$	$11059200$	$3.253189$	$57537462272/10673289$	$1.14195$	$5.43294$	$[0, 0, 0, -27588000, -45973571875]$	\(y^2=x^3-27588000x-45973571875\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(-2108808828599/32834, 796663748571391899/32834)]$
108900.ci1	108900dc1	108900.ci	108900dc	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 5^{3} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$4.596496473$	$1$		$3$	$2211840$	$2.448471$	$57537462272/10673289$	$1.14195$	$4.60034$	$[0, 0, 0, -1103520, -367788575]$	\(y^2=x^3-1103520x-367788575\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(26235, 4245890)]$
145200.dh1	145200ed1	145200.dh	145200ed	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 11^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$1105920$	$1.899166$	$57537462272/10673289$	$1.14195$	$3.93442$	$[0, -1, 0, -122613, -13580928]$	\(y^2=x^3-x^2-122613x-13580928\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
145200.hy1	145200n1	145200.hy	145200n	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 5^{9} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$5.363663105$	$1$		$1$	$5529600$	$2.703884$	$57537462272/10673289$	$1.14195$	$4.74686$	$[0, 1, 0, -3065333, -1703746662]$	\(y^2=x^3+x^2-3065333x-1703746662\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(-4427/2, 146289/2)]$
158400.gl1	158400z1	158400.gl	158400z	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{12} \cdot 5^{9} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$2949120$	$2.400818$	$57537462272/10673289$	$1.14195$	$4.40861$	$[0, 0, 0, -912000, -276325000]$	\(y^2=x^3-912000x-276325000\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
158400.hn1	158400be1	158400.hn	158400be	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{12} \cdot 5^{3} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$589824$	$1.596098$	$57537462272/10673289$	$1.14195$	$3.60207$	$[0, 0, 0, -36480, -2210600]$	\(y^2=x^3-36480x-2210600\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
158400.hu1	158400iv1	158400.hu	158400iv	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{12} \cdot 5^{9} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$2949120$	$2.400818$	$57537462272/10673289$	$1.14195$	$4.40861$	$[0, 0, 0, -912000, 276325000]$	\(y^2=x^3-912000x+276325000\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
158400.iw1	158400iz1	158400.iw	158400iz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \)	\( 2^{10} \cdot 3^{12} \cdot 5^{3} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$589824$	$1.596098$	$57537462272/10673289$	$1.14195$	$3.60207$	$[0, 0, 0, -36480, 2210600]$	\(y^2=x^3-36480x+2210600\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
161700.ch1	161700cq1	161700.ch	161700cq	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$0.644712221$	$1$		$9$	$884736$	$1.673174$	$57537462272/10673289$	$1.14195$	$3.67300$	$[0, -1, 0, -49653, 3526902]$	\(y^2=x^3-x^2-49653x+3526902\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(27, 1485)]$
161700.ed1	161700a1	161700.ed	161700a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{9} \cdot 7^{6} \cdot 11^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$1$	$1$		$1$	$4423680$	$2.477894$	$57537462272/10673289$	$1.14195$	$4.47815$	$[0, 1, 0, -1241333, 438380088]$	\(y^2=x^3+x^2-1241333x+438380088\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[ ]$
435600.jf1	435600jf1	435600.jf	435600jf	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 5^{9} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$16.68347341$	$1$		$1$	$44236800$	$3.253189$	$57537462272/10673289$	$1.14195$	$4.85289$	$[0, 0, 0, -27588000, 45973571875]$	\(y^2=x^3-27588000x+45973571875\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(1904694825/643, 34304702407250/643)]$
435600.lh1	435600lh1	435600.lh	435600lh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 5^{3} \cdot 11^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$9.029881558$	$1$		$1$	$8847360$	$2.448471$	$57537462272/10673289$	$1.14195$	$4.10919$	$[0, 0, 0, -1103520, 367788575]$	\(y^2=x^3-1103520x+367788575\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(181445/13, 45056770/13)]$
485100.q1	485100q1	485100.q	485100q	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{9} \cdot 7^{6} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$7.178888828$	$1$		$3$	$35389440$	$3.027199$	$57537462272/10673289$	$1.14195$	$4.60586$	$[0, 0, 0, -11172000, -11847434375]$	\(y^2=x^3-11172000x-11847434375\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(479024, 331531893)]$
485100.cx1	485100cx1	485100.cx	485100cx	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{3} \cdot 7^{6} \cdot 11^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.4	2B	$1320$	$48$	$1$	$13.05527550$	$1$		$1$	$7077888$	$2.222481$	$57537462272/10673289$	$1.14195$	$3.86826$	$[0, 0, 0, -446880, -94779475]$	\(y^2=x^3-446880x-94779475\)	2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$	$[(-822925/43, 317545040/43)]$

  Download displayed columns for results to