Elliptic curve search results

Results (18 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
16940.b1	16940a2	16940.b	16940a	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 7^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1$	$1$		$1$	$506880$	$2.786488$	$7020843884784/3603000625$	$1.00469$	$5.82352$	$[0, 0, 0, -3371423, 801711878]$	\(y^2=x^3-3371423x+801711878\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[ ]$
16940.c1	16940b2	16940.c	16940b	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 7^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1.394902742$	$1$		$3$	$46080$	$1.587540$	$7020843884784/3603000625$	$1.00469$	$4.34599$	$[0, 0, 0, -27863, -602338]$	\(y^2=x^3-27863x-602338\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[(286, 3850)]$
67760.y1	67760v2	67760.y	67760v	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 7^{8} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1$	$1$		$1$	$184320$	$1.587540$	$7020843884784/3603000625$	$1.00469$	$3.80437$	$[0, 0, 0, -27863, 602338]$	\(y^2=x^3-27863x+602338\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[ ]$
67760.bc1	67760bh2	67760.bc	67760bh	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 7^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$5.662921320$	$1$		$1$	$2027520$	$2.786488$	$7020843884784/3603000625$	$1.00469$	$5.09776$	$[0, 0, 0, -3371423, -801711878]$	\(y^2=x^3-3371423x-801711878\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[(-2991/2, 288575/2)]$
84700.o1	84700a2	84700.o	84700a	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{10} \cdot 7^{8} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1$	$1$		$1$	$1105920$	$2.392258$	$7020843884784/3603000625$	$1.00469$	$4.58059$	$[0, 0, 0, -696575, -75292250]$	\(y^2=x^3-696575x-75292250\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[ ]$
84700.w1	84700l2	84700.w	84700l	$2$	$2$	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{10} \cdot 7^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$7.056650073$	$1$		$1$	$12165120$	$3.591206$	$7020843884784/3603000625$	$1.00469$	$5.84855$	$[0, 0, 0, -84285575, 100213984750]$	\(y^2=x^3-84285575x+100213984750\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[(84670/11, 271398750/11)]$
118580.r1	118580u2	118580.r	118580u	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 7^{14} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1$	$1$		$1$	$2211840$	$2.560493$	$7020843884784/3603000625$	$1.00469$	$4.62147$	$[0, 0, 0, -1365287, 206601934]$	\(y^2=x^3-1365287x+206601934\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[ ]$
118580.s1	118580t2	118580.s	118580t	$2$	$2$	\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 7^{14} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1$	$1$		$1$	$24330240$	$3.759441$	$7020843884784/3603000625$	$1.00469$	$5.85291$	$[0, 0, 0, -165199727, -274987174154]$	\(y^2=x^3-165199727x-274987174154\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[ ]$
152460.bg1	152460r2	152460.bg	152460r	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1$	$4$	$2$	$1$	$16220160$	$3.335793$	$7020843884784/3603000625$	$1.00469$	$5.30370$	$[0, 0, 0, -30342807, -21646220706]$	\(y^2=x^3-30342807x-21646220706\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[ ]$
152460.bx1	152460i2	152460.bx	152460i	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$0.364901780$	$1$		$11$	$1474560$	$2.136845$	$7020843884784/3603000625$	$1.00469$	$4.09819$	$[0, 0, 0, -250767, 16263126]$	\(y^2=x^3-250767x+16263126\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[(507, 4410)]$
271040.ea1	271040ea2	271040.ea	271040ea	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 5^{4} \cdot 7^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1$	$1$		$1$	$16220160$	$3.133060$	$7020843884784/3603000625$	$1.00469$	$4.86530$	$[0, 0, 0, -13485692, 6413695024]$	\(y^2=x^3-13485692x+6413695024\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[ ]$
271040.eb1	271040eb2	271040.eb	271040eb	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 5^{4} \cdot 7^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$3.140864747$	$1$		$3$	$1474560$	$1.934113$	$7020843884784/3603000625$	$1.00469$	$3.71523$	$[0, 0, 0, -111452, 4818704]$	\(y^2=x^3-111452x+4818704\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[(-352, 660)]$
271040.el1	271040el2	271040.el	271040el	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 5^{4} \cdot 7^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$0.448829093$	$1$		$9$	$1474560$	$1.934113$	$7020843884784/3603000625$	$1.00469$	$3.71523$	$[0, 0, 0, -111452, -4818704]$	\(y^2=x^3-111452x-4818704\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[(-198, 3080)]$
271040.em1	271040em2	271040.em	271040em	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{14} \cdot 5^{4} \cdot 7^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1$	$1$		$1$	$16220160$	$3.133060$	$7020843884784/3603000625$	$1.00469$	$4.86530$	$[0, 0, 0, -13485692, -6413695024]$	\(y^2=x^3-13485692x-6413695024\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[ ]$
338800.ds1	338800ds2	338800.ds	338800ds	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{10} \cdot 7^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1$	$1$		$1$	$48660480$	$3.591206$	$7020843884784/3603000625$	$1.00469$	$5.21180$	$[0, 0, 0, -84285575, -100213984750]$	\(y^2=x^3-84285575x-100213984750\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[ ]$
338800.ez1	338800ez2	338800.ez	338800ez	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{10} \cdot 7^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$2.405032470$	$1$		$1$	$4423680$	$2.392258$	$7020843884784/3603000625$	$1.00469$	$4.08189$	$[0, 0, 0, -696575, 75292250]$	\(y^2=x^3-696575x+75292250\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[(3905/2, 144375/2)]$
474320.fl1	474320fl2	474320.fl	474320fl	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 7^{14} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1$	$1$		$1$	$8847360$	$2.560493$	$7020843884784/3603000625$	$1.00469$	$4.13127$	$[0, 0, 0, -1365287, -206601934]$	\(y^2=x^3-1365287x-206601934\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[ ]$
474320.fm1	474320fm2	474320.fm	474320fm	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{8} \cdot 5^{4} \cdot 7^{14} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.136	2B	$6160$	$192$	$9$	$1$	$9$	$3$	$1$	$97320960$	$3.759441$	$7020843884784/3603000625$	$1.00469$	$5.23210$	$[0, 0, 0, -165199727, 274987174154]$	\(y^2=x^3-165199727x+274987174154\)	2.3.0.a.1, 4.6.0.e.1, 8.24.0.bq.1, 44.12.0.l.1, 80.48.1.?, $\ldots$	$[ ]$

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