Elliptic curve search results

Results (26 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
1290.j1	1290k2	1290.j	1290k	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{7} \cdot 3^{5} \cdot 5^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$10080$	$1.551991$	$503835593418244309249/898614000000$	$1.01669$	$6.65542$	$[1, 1, 1, -165776, -26048527]$	\(y^2+xy+y=x^3+x^2-165776x-26048527\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
3870.g1	3870i2	3870.g	3870i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{7} \cdot 3^{11} \cdot 5^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$0.508280377$	$1$		$8$	$80640$	$2.101295$	$503835593418244309249/898614000000$	$1.01669$	$6.56826$	$[1, -1, 0, -1491984, 701818240]$	\(y^2+xy=x^3-x^2-1491984x+701818240\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(701, -148)]$
6450.s1	6450n2	6450.s	6450n	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{7} \cdot 3^{5} \cdot 5^{12} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$3.601503627$	$1$		$2$	$241920$	$2.356709$	$503835593418244309249/898614000000$	$1.01669$	$6.53517$	$[1, 0, 1, -4144401, -3247777052]$	\(y^2+xy+y=x^3-4144401x-3247777052\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(6482, 488946)]$
10320.bb1	10320bd2	10320.bb	10320bd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{19} \cdot 3^{5} \cdot 5^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$241920$	$2.245136$	$503835593418244309249/898614000000$	$1.01669$	$6.05794$	$[0, 1, 0, -2652416, 1661800884]$	\(y^2=x^3+x^2-2652416x+1661800884\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
19350.cv1	19350cj2	19350.cv	19350cj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{7} \cdot 3^{11} \cdot 5^{12} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$1935360$	$2.906013$	$503835593418244309249/898614000000$	$1.01669$	$6.47560$	$[1, -1, 1, -37299605, 87689980397]$	\(y^2+xy+y=x^3-x^2-37299605x+87689980397\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
30960.bz1	30960cc2	30960.bz	30960cc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{19} \cdot 3^{11} \cdot 5^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$4.246131309$	$1$		$3$	$1935360$	$2.794445$	$503835593418244309249/898614000000$	$1.01669$	$6.05179$	$[0, 0, 0, -23871747, -44892495614]$	\(y^2=x^3-23871747x-44892495614\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(49857, 11076800)]$
41280.bs1	41280cj2	41280.bs	41280cj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{25} \cdot 3^{5} \cdot 5^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.785112605$	$1$		$7$	$1935360$	$2.591709$	$503835593418244309249/898614000000$	$1.01669$	$5.65908$	$[0, -1, 0, -10609665, 13305016737]$	\(y^2=x^3-x^2-10609665x+13305016737\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(1877, 256)]$
41280.cu1	41280bv2	41280.cu	41280bv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{25} \cdot 3^{5} \cdot 5^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$1935360$	$2.591709$	$503835593418244309249/898614000000$	$1.01669$	$5.65908$	$[0, 1, 0, -10609665, -13305016737]$	\(y^2=x^3+x^2-10609665x-13305016737\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
51600.d1	51600bx2	51600.d	51600bx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{19} \cdot 3^{5} \cdot 5^{12} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$5806080$	$3.049858$	$503835593418244309249/898614000000$	$1.01669$	$6.04935$	$[0, -1, 0, -66310408, 207857731312]$	\(y^2=x^3-x^2-66310408x+207857731312\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
55470.o1	55470o2	55470.o	55470o	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{7} \cdot 3^{5} \cdot 5^{6} \cdot 43^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$18627840$	$3.432590$	$503835593418244309249/898614000000$	$1.01669$	$6.42975$	$[1, 0, 1, -306519863, 2065522864538]$	\(y^2+xy+y=x^3-306519863x+2065522864538\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
63210.cm1	63210ct2	63210.cm	63210ct	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{7} \cdot 3^{5} \cdot 5^{6} \cdot 7^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$0.195033873$	$1$		$16$	$2903040$	$2.524944$	$503835593418244309249/898614000000$	$1.01669$	$5.36847$	$[1, 0, 0, -8123025, 8910275625]$	\(y^2+xy=x^3-8123025x+8910275625\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(1590, 3075)]$
123840.b1	123840cj2	123840.b	123840cj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{25} \cdot 3^{11} \cdot 5^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.366074550$	$1$		$7$	$15482880$	$3.141018$	$503835593418244309249/898614000000$	$1.01669$	$5.69102$	$[0, 0, 0, -95486988, 359139964912]$	\(y^2=x^3-95486988x+359139964912\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(4862, 99072)]$
123840.dn1	123840ew2	123840.dn	123840ew	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{25} \cdot 3^{11} \cdot 5^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$22.76730025$	$1$		$1$	$15482880$	$3.141018$	$503835593418244309249/898614000000$	$1.01669$	$5.69102$	$[0, 0, 0, -95486988, -359139964912]$	\(y^2=x^3-95486988x-359139964912\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(1090721777788/4391, 1120852895035531536/4391)]$
154800.h1	154800bj2	154800.h	154800bj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{19} \cdot 3^{11} \cdot 5^{12} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$5.703372356$	$1$		$3$	$46448640$	$3.599163$	$503835593418244309249/898614000000$	$1.01669$	$6.04481$	$[0, 0, 0, -596793675, -5611561951750]$	\(y^2=x^3-596793675x-5611561951750\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(32479, 3044142)]$
156090.e1	156090by2	156090.e	156090by	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{7} \cdot 3^{5} \cdot 5^{6} \cdot 11^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$8.150150370$	$1$		$0$	$12902400$	$2.750938$	$503835593418244309249/898614000000$	$1.01669$	$5.18943$	$[1, 1, 0, -20058898, 34570294708]$	\(y^2+xy=x^3+x^2-20058898x+34570294708\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(-100539/7, 89197949/7)]$
166410.cl1	166410u2	166410.cl	166410u	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{7} \cdot 3^{11} \cdot 5^{6} \cdot 43^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$9$	$3$	$0$	$149022720$	$3.981895$	$503835593418244309249/898614000000$	$1.01669$	$6.39048$	$[1, -1, 1, -2758678763, -55769117342533]$	\(y^2+xy+y=x^3-x^2-2758678763x-55769117342533\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
189630.bd1	189630dx2	189630.bd	189630dx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{7} \cdot 3^{11} \cdot 5^{6} \cdot 7^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$22.67038293$	$1$		$0$	$23224320$	$3.074253$	$503835593418244309249/898614000000$	$1.01669$	$5.42556$	$[1, -1, 0, -73107225, -240577441875]$	\(y^2+xy=x^3-x^2-73107225x-240577441875\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(100441439319/3077, 12125884172445105/3077)]$
206400.fc1	206400kp2	206400.fc	206400kp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{25} \cdot 3^{5} \cdot 5^{12} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$27.15924954$	$1$		$1$	$46448640$	$3.396431$	$503835593418244309249/898614000000$	$1.01669$	$5.70391$	$[0, -1, 0, -265241633, -1662596608863]$	\(y^2=x^3-x^2-265241633x-1662596608863\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(891673623006433/70563, 26511899909594773600000/70563)]$
206400.fo1	206400bb2	206400.fo	206400bb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{25} \cdot 3^{5} \cdot 5^{12} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$1$	$46448640$	$3.396431$	$503835593418244309249/898614000000$	$1.01669$	$5.70391$	$[0, 1, 0, -265241633, 1662596608863]$	\(y^2=x^3+x^2-265241633x+1662596608863\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
218010.u1	218010ch2	218010.u	218010ch	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( 2^{7} \cdot 3^{5} \cdot 5^{6} \cdot 13^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$9$	$3$	$0$	$21772800$	$2.834465$	$503835593418244309249/898614000000$	$1.01669$	$5.12992$	$[1, 1, 0, -28016147, -57088532691]$	\(y^2+xy=x^3+x^2-28016147x-57088532691\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
277350.bz1	277350bz2	277350.bz	277350bz	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( 2^{7} \cdot 3^{5} \cdot 5^{12} \cdot 43^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$2.029584924$	$1$		$6$	$447068160$	$4.237312$	$503835593418244309249/898614000000$	$1.01669$	$6.37456$	$[1, 1, 1, -7662996563, 258190358067281]$	\(y^2+xy+y=x^3+x^2-7662996563x+258190358067281\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(50951, 133538)]$
316050.n1	316050n2	316050.n	316050n	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( 2^{7} \cdot 3^{5} \cdot 5^{12} \cdot 7^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$7.696772086$	$1$		$2$	$69672960$	$3.329662$	$503835593418244309249/898614000000$	$1.01669$	$5.44873$	$[1, 1, 0, -203075625, 1113784453125]$	\(y^2+xy=x^3+x^2-203075625x+1113784453125\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(19991, 2235846)]$
372810.cv1	372810cv2	372810.cv	372810cv	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( 2^{7} \cdot 3^{5} \cdot 5^{6} \cdot 17^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$49674240$	$2.968597$	$503835593418244309249/898614000000$	$1.01669$	$5.04084$	$[1, 0, 0, -47909270, -127641047388]$	\(y^2+xy=x^3-47909270x-127641047388\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
443760.v1	443760v2	443760.v	443760v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{19} \cdot 3^{5} \cdot 5^{6} \cdot 43^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$4$	$2$	$1$	$447068160$	$4.125740$	$503835593418244309249/898614000000$	$1.01669$	$6.04118$	$[0, -1, 0, -4904317800, -132193463330448]$	\(y^2=x^3-x^2-4904317800x-132193463330448\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$
465690.o1	465690o2	465690.o	465690o	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{7} \cdot 3^{5} \cdot 5^{6} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1.149528475$	$1$		$6$	$69672960$	$3.024208$	$503835593418244309249/898614000000$	$1.01669$	$5.00606$	$[1, 0, 1, -59845144, 178188084326]$	\(y^2+xy+y=x^3-59845144x+178188084326\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[(3868, 65753)]$
468270.eb1	468270eb2	468270.eb	468270eb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{7} \cdot 3^{11} \cdot 5^{6} \cdot 11^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5160$	$12$	$0$	$1$	$1$		$0$	$103219200$	$3.300243$	$503835593418244309249/898614000000$	$1.01669$	$5.25763$	$[1, -1, 1, -180530087, -933578487201]$	\(y^2+xy+y=x^3-x^2-180530087x-933578487201\)	2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?	$[]$