Elliptic curve search results

Results (26 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
3192.a1	3192m1	3192.a	3192m	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{5} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$8.062816970$	$1$		$3$	$11520$	$1.347422$	$8334147900493981696/232793757$	$1.02714$	$5.74333$	$1$	$[0, -1, 0, -106435, -13329764]$	\(y^2=x^3-x^2-106435x-13329764\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(4301, 281199)]$	$1$
6384.r1	6384o1	6384.r	6384o	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{5} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$0.499014572$	$1$		$5$	$23040$	$1.347422$	$8334147900493981696/232793757$	$1.02714$	$5.28896$	$1$	$[0, 1, 0, -106435, 13329764]$	\(y^2=x^3+x^2-106435x+13329764\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(224, 882)]$	$1$
9576.ba1	9576k1	9576.ba	9576k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{5} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$4.646049433$	$1$		$1$	$92160$	$1.896729$	$8334147900493981696/232793757$	$1.02714$	$5.77409$	$1$	$[0, 0, 0, -957918, 360861545]$	\(y^2=x^3-957918x+360861545\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(2185/2, 6165/2)]$	$1$
19152.bz1	19152y1	19152.bz	19152y	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{5} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$9.099066442$	$1$		$1$	$184320$	$1.896729$	$8334147900493981696/232793757$	$1.02714$	$5.36818$	$1$	$[0, 0, 0, -957918, -360861545]$	\(y^2=x^3-957918x-360861545\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(28311/5, 321566/5)]$	$1$
22344.bj1	22344bg1	22344.bj	22344bg	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{11} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$552960$	$2.320377$	$8334147900493981696/232793757$	$1.02714$	$5.79320$	$1$	$[0, 1, 0, -5215331, 4582539702]$	\(y^2=x^3+x^2-5215331x+4582539702\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[ ]$	$1$
25536.bv1	25536cq1	25536.bv	25536cq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{5} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.693995$	$8334147900493981696/232793757$	$1.02714$	$4.97627$	$1$	$[0, -1, 0, -425741, 107063853]$	\(y^2=x^3-x^2-425741x+107063853\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[ ]$	$1$
25536.dn1	25536be1	25536.dn	25536be	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{5} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$9$	$3$	$1$	$184320$	$1.693995$	$8334147900493981696/232793757$	$1.02714$	$4.97627$	$1$	$[0, 1, 0, -425741, -107063853]$	\(y^2=x^3+x^2-425741x-107063853\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[ ]$	$1$
44688.bx1	44688s1	44688.bx	44688s	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{11} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$69.56776741$	$1$		$1$	$1105920$	$2.320377$	$8334147900493981696/232793757$	$1.02714$	$5.41818$	$1$	$[0, -1, 0, -5215331, -4582539702]$	\(y^2=x^3-x^2-5215331x-4582539702\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(9895511000148728890437308486574/34104194725795, 29863692000688166510896405934537689021345586982/34104194725795)]$	$1$
60648.t1	60648q1	60648.t	60648q	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{5} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.965861015$	$1$		$5$	$4147200$	$2.819641$	$8334147900493981696/232793757$	$1.02714$	$5.81195$	$1$	$[0, 1, 0, -38423155, 91659389954]$	\(y^2=x^3+x^2-38423155x+91659389954\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(3806, 23826)]$	$1$
67032.e1	67032bb1	67032.e	67032bb	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{11} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$9.306308030$	$1$		$1$	$4423680$	$2.869682$	$8334147900493981696/232793757$	$1.02714$	$5.81365$	$1$	$[0, 0, 0, -46937982, -123775509935]$	\(y^2=x^3-46937982x-123775509935\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(1205092/3, 1321143047/3)]$	$1$
76608.e1	76608bn1	76608.e	76608bn	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{12} \cdot 7^{5} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$1474560$	$2.243301$	$8334147900493981696/232793757$	$1.02714$	$5.07627$	$1$	$[0, 0, 0, -3831672, 2886892360]$	\(y^2=x^3-3831672x+2886892360\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[ ]$	$1$
76608.m1	76608fv1	76608.m	76608fv	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{12} \cdot 7^{5} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$4.442766855$	$1$		$1$	$1474560$	$2.243301$	$8334147900493981696/232793757$	$1.02714$	$5.07627$	$1$	$[0, 0, 0, -3831672, -2886892360]$	\(y^2=x^3-3831672x-2886892360\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(9169/2, 154791/2)]$	$1$
79800.bo1	79800m1	79800.bo	79800m	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{5} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$921600$	$2.152142$	$8334147900493981696/232793757$	$1.02714$	$4.96099$	$1$	$[0, 1, 0, -2660883, -1671542262]$	\(y^2=x^3+x^2-2660883x-1671542262\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[ ]$	$1$
121296.b1	121296w1	121296.b	121296w	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{5} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$13.65486177$	$1$		$1$	$8294400$	$2.819641$	$8334147900493981696/232793757$	$1.02714$	$5.46781$	$1$	$[0, -1, 0, -38423155, -91659389954]$	\(y^2=x^3-x^2-38423155x-91659389954\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(7763114/17, 20993060298/17)]$	$1$
134064.c1	134064dg1	134064.c	134064dg	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{11} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$4$	$2$	$1$	$8847360$	$2.869682$	$8334147900493981696/232793757$	$1.02714$	$5.47232$	$1$	$[0, 0, 0, -46937982, 123775509935]$	\(y^2=x^3-46937982x+123775509935\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[ ]$	$1$
159600.u1	159600gu1	159600.u	159600gu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{5} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$12.85280942$	$1$		$1$	$1843200$	$2.152142$	$8334147900493981696/232793757$	$1.02714$	$4.67397$	$1$	$[0, -1, 0, -2660883, 1671542262]$	\(y^2=x^3-x^2-2660883x+1671542262\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(11613778/111, 33860006/111)]$	$1$
178752.b1	178752id1	178752.b	178752id	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{11} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.918005504$	$1$		$3$	$8847360$	$2.666950$	$8334147900493981696/232793757$	$1.02714$	$5.14099$	$1$	$[0, -1, 0, -20861325, 36681178941]$	\(y^2=x^3-x^2-20861325x+36681178941\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(3484, 79233)]$	$1$
178752.fl1	178752b1	178752.fl	178752b	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{11} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$8847360$	$2.666950$	$8334147900493981696/232793757$	$1.02714$	$5.14099$	$1$	$[0, 1, 0, -20861325, -36681178941]$	\(y^2=x^3+x^2-20861325x-36681178941\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[ ]$	$1$
181944.cp1	181944y1	181944.cp	181944y	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 7^{5} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$16$	$2$	$1$	$33177600$	$3.368946$	$8334147900493981696/232793757$	$1.02714$	$5.82901$	$1$	$[0, 0, 0, -345808398, -2475149337155]$	\(y^2=x^3-345808398x-2475149337155\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[ ]$	$1$
239400.dr1	239400dr1	239400.dr	239400dr	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 7^{5} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.732283839$	$1$		$7$	$7372800$	$2.701447$	$8334147900493981696/232793757$	$1.02714$	$5.05315$	$1$	$[0, 0, 0, -23947950, 45107693125]$	\(y^2=x^3-23947950x+45107693125\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(2826, 49)]$	$1$
363888.fg1	363888fg1	363888.fg	363888fg	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 7^{5} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$4$	$2$	$1$	$66355200$	$3.368946$	$8334147900493981696/232793757$	$1.02714$	$5.51347$	$1$	$[0, 0, 0, -345808398, 2475149337155]$	\(y^2=x^3-345808398x+2475149337155\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[ ]$	$1$
386232.a1	386232a1	386232.a	386232a	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{5} \cdot 11^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$0.542955704$	$1$		$9$	$16588800$	$2.546368$	$8334147900493981696/232793757$	$1.02714$	$4.72061$	$1$	$[0, -1, 0, -12878675, 17793430536]$	\(y^2=x^3-x^2-12878675x+17793430536\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(2083, 847)]$	$1$
424536.cf1	424536cf1	424536.cf	424536cf	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{11} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$58.06617122$	$1$		$1$	$199065600$	$3.792595$	$8334147900493981696/232793757$	$1.02714$	$5.84019$	$1$	$[0, -1, 0, -1882734611, -31442936223432]$	\(y^2=x^3-x^2-1882734611x-31442936223432\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(25039066486256033552788917567/641980667711, 2342960694983942126300663990524984951791645/641980667711)]$	$1$
478800.eh1	478800eh1	478800.eh	478800eh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 7^{5} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$16$	$2$	$1$	$14745600$	$2.701447$	$8334147900493981696/232793757$	$1.02714$	$4.78535$	$1$	$[0, 0, 0, -23947950, -45107693125]$	\(y^2=x^3-23947950x-45107693125\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[ ]$	$1$
485184.em1	485184em1	485184.em	485184em	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 7^{5} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$9$	$3$	$1$	$66355200$	$3.166214$	$8334147900493981696/232793757$	$1.02714$	$5.20650$	$1$	$[0, -1, 0, -153692621, 733428812253]$	\(y^2=x^3-x^2-153692621x+733428812253\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[ ]$	$1$
485184.jl1	485184jl1	485184.jl	485184jl	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 7^{5} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$6.775601968$	$1$		$1$	$66355200$	$3.166214$	$8334147900493981696/232793757$	$1.02714$	$5.20650$	$1$	$[0, 1, 0, -153692621, -733428812253]$	\(y^2=x^3+x^2-153692621x-733428812253\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(297313/4, 107612295/4)]$	$1$

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