Elliptic curve search results

Results (29 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
966.e2	966e1	966.e	966e	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.1	2B	$184$	$12$	$0$	$0.270787416$	$1$		$11$	$192$	$-0.022728$	$-15625/5842368$	$1.15175$	$3.35149$	$[1, 0, 1, -1, 116]$	\(y^2+xy+y=x^3-x+116\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(-2, 11)]$
2898.n2	2898n1	2898.n	2898n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{10} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$0.612715573$	$1$		$9$	$1536$	$0.526579$	$-15625/5842368$	$1.15175$	$3.71649$	$[1, -1, 1, -5, -3139]$	\(y^2+xy+y=x^3-x^2-5x-3139\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(27, 112)]$
6762.f2	6762e1	6762.f	6762e	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$3.163905240$	$1$		$5$	$9216$	$0.950228$	$-15625/5842368$	$1.15175$	$3.93588$	$[1, 1, 0, -25, -39899]$	\(y^2+xy=x^3+x^2-25x-39899\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(42, 167)]$
7728.g2	7728k1	7728.g	7728k	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 23 \)	\( - 2^{18} \cdot 3^{4} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1.677150120$	$1$		$5$	$4608$	$0.670420$	$-15625/5842368$	$1.15175$	$3.50212$	$[0, -1, 0, -8, -7440]$	\(y^2=x^3-x^2-8x-7440\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(29, 126)]$
20286.cc2	20286bx1	20286.cc	20286bx	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{10} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$73728$	$1.499533$	$-15625/5842368$	$1.15175$	$4.16453$	$[1, -1, 1, -230, 1077045]$	\(y^2+xy+y=x^3-x^2-230x+1077045\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
22218.n2	22218n1	22218.n	22218n	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 23^{2} \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$101376$	$1.545019$	$-15625/5842368$	$1.15175$	$4.18121$	$[1, 0, 1, -276, -1414958]$	\(y^2+xy+y=x^3-276x-1414958\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
23184.be2	23184bw1	23184.be	23184bw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{18} \cdot 3^{10} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1.134263311$	$1$		$7$	$36864$	$1.219727$	$-15625/5842368$	$1.15175$	$3.77515$	$[0, 0, 0, -75, 200954]$	\(y^2=x^3-75x+200954\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(5, 448)]$
24150.bt2	24150br1	24150.bt	24150br	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$0.700653013$	$1$		$9$	$27648$	$0.781991$	$-15625/5842368$	$1.15175$	$3.23938$	$[1, 1, 1, -13, 14531]$	\(y^2+xy+y=x^3+x^2-13x+14531\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(25, 162)]$
30912.o2	30912d1	30912.o	30912d	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \)	\( - 2^{24} \cdot 3^{4} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$36864$	$1.016993$	$-15625/5842368$	$1.15175$	$3.43480$	$[0, -1, 0, -33, 59553]$	\(y^2=x^3-x^2-33x+59553\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
30912.by2	30912cg1	30912.by	30912cg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \)	\( - 2^{24} \cdot 3^{4} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$36864$	$1.016993$	$-15625/5842368$	$1.15175$	$3.43480$	$[0, 1, 0, -33, -59553]$	\(y^2=x^3+x^2-33x-59553\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
54096.cs2	54096cn1	54096.cs	54096cn	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{18} \cdot 3^{4} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.643375$	$-15625/5842368$	$1.15175$	$3.94812$	$[0, 1, 0, -408, 2552724]$	\(y^2=x^3+x^2-408x+2552724\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
66654.bs2	66654bv1	66654.bs	66654bv	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \)	\( - 2^{6} \cdot 3^{10} \cdot 7^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$0.884962457$	$1$		$9$	$811008$	$2.094326$	$-15625/5842368$	$1.15175$	$4.36111$	$[1, -1, 1, -2480, 38203859]$	\(y^2+xy+y=x^3-x^2-2480x+38203859\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(-293, 3849)]$
72450.cb2	72450bs1	72450.cb	72450bs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.331297$	$-15625/5842368$	$1.15175$	$3.51040$	$[1, -1, 0, -117, -392459]$	\(y^2+xy=x^3-x^2-117x-392459\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
92736.cm2	92736z1	92736.cm	92736z	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{24} \cdot 3^{10} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$294912$	$1.566299$	$-15625/5842368$	$1.15175$	$3.68119$	$[0, 0, 0, -300, -1607632]$	\(y^2=x^3-300x-1607632\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
92736.di2	92736fg1	92736.di	92736fg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \)	\( - 2^{24} \cdot 3^{10} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$2.359589793$	$1$		$5$	$294912$	$1.566299$	$-15625/5842368$	$1.15175$	$3.68119$	$[0, 0, 0, -300, 1607632]$	\(y^2=x^3-300x+1607632\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(44, 1296)]$
116886.bu2	116886bv1	116886.bu	116886bv	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 11^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$268800$	$1.176220$	$-15625/5842368$	$1.15175$	$3.20703$	$[1, 0, 0, -63, -154791]$	\(y^2+xy=x^3-63x-154791\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
155526.i2	155526cz1	155526.i	155526cz	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 23^{2} \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{8} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$7.304270484$	$1$		$1$	$4866048$	$2.517975$	$-15625/5842368$	$1.15175$	$4.47727$	$[1, 1, 0, -13500, 485317008]$	\(y^2+xy=x^3+x^2-13500x+485317008\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(1809/5, 2747538/5)]$
162288.de2	162288bj1	162288.de	162288bj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{18} \cdot 3^{10} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$8.000539210$	$1$		$1$	$1769472$	$2.192680$	$-15625/5842368$	$1.15175$	$4.13601$	$[0, 0, 0, -3675, -68927222]$	\(y^2=x^3-3675x-68927222\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(39839/7, 7400646/7)]$
163254.dm2	163254h1	163254.dm	163254h	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 13^{6} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$0.653540154$	$1$		$9$	$368640$	$1.259747$	$-15625/5842368$	$1.15175$	$3.20127$	$[1, 0, 0, -88, 255488]$	\(y^2+xy=x^3-88x+255488\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(92, 968)]$
169050.hp2	169050bc1	169050.hp	169050bc	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$1327104$	$1.754946$	$-15625/5842368$	$1.15175$	$3.68563$	$[1, 0, 0, -638, -4986108]$	\(y^2+xy=x^3-638x-4986108\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
177744.u2	177744bw1	177744.u	177744bw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \)	\( - 2^{18} \cdot 3^{4} \cdot 7^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$0.859506914$	$1$		$9$	$2433024$	$2.238167$	$-15625/5842368$	$1.15175$	$4.15004$	$[0, -1, 0, -4408, 90557296]$	\(y^2=x^3-x^2-4408x+90557296\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(-38, 9522)]$
193200.fa2	193200cl1	193200.fa	193200cl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$663552$	$1.475138$	$-15625/5842368$	$1.15175$	$3.36933$	$[0, 1, 0, -208, -930412]$	\(y^2=x^3+x^2-208x-930412\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
216384.by2	216384df1	216384.by	216384df	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{24} \cdot 3^{4} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$4.456060759$	$1$		$3$	$1769472$	$1.989948$	$-15625/5842368$	$1.15175$	$3.84112$	$[0, -1, 0, -1633, 20423425]$	\(y^2=x^3-x^2-1633x+20423425\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(1773, 74752)]$
216384.gz2	216384fx1	216384.gz	216384fx	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \)	\( - 2^{24} \cdot 3^{4} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.989948$	$-15625/5842368$	$1.15175$	$3.84112$	$[0, 1, 0, -1633, -20423425]$	\(y^2=x^3+x^2-1633x-20423425\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
279174.j2	279174j1	279174.j	279174j	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 17^{6} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$5.058016213$	$1$		$13$	$983040$	$1.393879$	$-15625/5842368$	$1.15175$	$3.19266$	$[1, 1, 0, -150, 571284]$	\(y^2+xy=x^3+x^2-150x+571284\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(-12, 762), (-75, 447)]$
348726.bu2	348726bu1	348726.bu	348726bu	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 19^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$1257984$	$1.449492$	$-15625/5842368$	$1.15175$	$3.18930$	$[1, 1, 1, -188, -797731]$	\(y^2+xy+y=x^3+x^2-188x-797731\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
350658.bg2	350658bg1	350658.bg	350658bg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{10} \cdot 7^{2} \cdot 11^{6} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$2150400$	$1.725527$	$-15625/5842368$	$1.15175$	$3.44736$	$[1, -1, 0, -567, 4179357]$	\(y^2+xy=x^3-x^2-567x+4179357\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
466578.eq2	466578eq1	466578.eq	466578eq	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23^{2} \)	\( - 2^{6} \cdot 3^{10} \cdot 7^{8} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$5.808813239$	$1$		$1$	$38928384$	$3.067280$	$-15625/5842368$	$1.15175$	$4.60543$	$[1, -1, 1, -121505, -13103680719]$	\(y^2+xy+y=x^3-x^2-121505x-13103680719\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(169821/5, 67980904/5)]$
489762.bn2	489762bn1	489762.bn	489762bn	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{10} \cdot 7^{2} \cdot 13^{6} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$2.243460276$	$1$		$5$	$2949120$	$1.809053$	$-15625/5842368$	$1.15175$	$3.43595$	$[1, -1, 0, -792, -6898176]$	\(y^2+xy=x^3-x^2-792x-6898176\)	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[(231, 2166)]$