Elliptic curve search results

Results (21 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
3990.g4	3990g1	3990.g	3990g	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{28} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1$	$1$		$1$	$26880$	$1.675800$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.33041$	$[1, 1, 0, -46727, -4599051]$	\(y^2+xy=x^3+x^2-46727x-4599051\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 76.12.0.?, $\ldots$	$[ ]$
11970.bj4	11970br1	11970.bj	11970br	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{28} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$2280$	$48$	$0$	$0.470775040$	$1$		$11$	$215040$	$2.225105$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.40875$	$[1, -1, 1, -420548, 123753831]$	\(y^2+xy+y=x^3-x^2-420548x+123753831\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(101, 9021)]$
19950.cy4	19950cw1	19950.cy	19950cw	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{28} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2280$	$48$	$0$	$1$	$1$		$3$	$645120$	$2.480518$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.43926$	$[1, 0, 0, -1168188, -572545008]$	\(y^2+xy=x^3-1168188x-572545008\)	2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 190.6.0.?, 380.24.0.?, $\ldots$	$[ ]$
27930.ba4	27930bi1	27930.ba	27930bi	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{4} \cdot 5^{3} \cdot 7^{8} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$1$	$1$		$1$	$1290240$	$2.648754$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.45769$	$[1, 0, 1, -2289649, 1570605572]$	\(y^2+xy+y=x^3-2289649x+1570605572\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$	$[ ]$
31920.cc4	31920cb1	31920.cc	31920cb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{40} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1$	$1$		$1$	$645120$	$2.368946$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.06366$	$[0, 1, 0, -747640, 292843988]$	\(y^2=x^3+x^2-747640x+292843988\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 76.12.0.?, $\ldots$	$[ ]$
59850.di4	59850cd1	59850.di	59850cd	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{28} \cdot 3^{10} \cdot 5^{9} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$5.618642565$	$1$		$3$	$5160960$	$3.029823$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.49526$	$[1, -1, 0, -10513692, 15458715216]$	\(y^2+xy=x^3-x^2-10513692x+15458715216\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$	$[(5985, 405531)]$
75810.dj4	75810do1	75810.dj	75810do	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{28} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 19^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$2280$	$48$	$0$	$0.733968926$	$1$		$15$	$9676800$	$3.148018$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.50588$	$[1, 0, 0, -16868635, 31409942225]$	\(y^2+xy=x^3-16868635x+31409942225\)	2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 190.6.0.?, 380.24.0.?, $\ldots$	$[(3830, 149705)]$
83790.fq4	83790fr1	83790.fq	83790fr	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{10} \cdot 5^{3} \cdot 7^{8} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$1$	$1$		$1$	$10321920$	$3.198063$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.51024$	$[1, -1, 1, -20606837, -42406350451]$	\(y^2+xy+y=x^3-x^2-20606837x-42406350451\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 120.12.0.?, 190.6.0.?, $\ldots$	$[ ]$
95760.bl4	95760eb1	95760.bl	95760eb	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{40} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$2280$	$48$	$0$	$13.57628802$	$1$		$1$	$5160960$	$2.918255$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.15335$	$[0, 0, 0, -6728763, -7913516438]$	\(y^2=x^3-6728763x-7913516438\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(18485078/13, 79452662184/13)]$
127680.y4	127680dv1	127680.y	127680dv	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{46} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$8.443191112$	$1$		$1$	$5160960$	$2.715519$	$-11283450590382195961/2530373271552000$	$0.98187$	$4.82033$	$[0, -1, 0, -2990561, 2345742465]$	\(y^2=x^3-x^2-2990561x+2345742465\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(32465/4, 4353615/4)]$
127680.ed4	127680cg1	127680.ed	127680cg	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{46} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$18.71269533$	$1$		$1$	$5160960$	$2.715519$	$-11283450590382195961/2530373271552000$	$0.98187$	$4.82033$	$[0, 1, 0, -2990561, -2345742465]$	\(y^2=x^3+x^2-2990561x-2345742465\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(1511817841/317, 58374607662168/317)]$
139650.ev4	139650dv1	139650.ev	139650dv	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{4} \cdot 5^{9} \cdot 7^{8} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$1$	$1$		$1$	$30965760$	$3.453472$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.53136$	$[1, 1, 1, -57241213, 196325696531]$	\(y^2+xy+y=x^3+x^2-57241213x+196325696531\)	2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 190.6.0.?, $\ldots$	$[ ]$
159600.bn4	159600ex1	159600.bn	159600ex	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{40} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$2280$	$48$	$0$	$3.539939248$	$1$		$3$	$15482880$	$3.173668$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.18945$	$[0, -1, 0, -18691008, 36642880512]$	\(y^2=x^3-x^2-18691008x+36642880512\)	2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 190.6.0.?, 380.24.0.?, $\ldots$	$[(357, 173250)]$
223440.bt4	223440fg1	223440.bt	223440fg	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{40} \cdot 3^{4} \cdot 5^{3} \cdot 7^{8} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$43.56252003$	$1$		$1$	$30965760$	$3.341904$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.21159$	$[0, -1, 0, -36634376, -100518756624]$	\(y^2=x^3-x^2-36634376x-100518756624\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$	$[(165012129041965042913/50665936, 2109860200506761949404096427951/50665936)]$
227430.p4	227430fi1	227430.p	227430fi	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \)	\( - 2^{28} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$15.60029890$	$1$		$1$	$77414400$	$3.697327$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.54989$	$[1, -1, 0, -151817715, -848068440075]$	\(y^2+xy=x^3-x^2-151817715x-848068440075\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$	$[(419394889/167, 2382577158607/167)]$
379050.bg4	379050bg1	379050.bg	379050bg	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{28} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$2.354969850$	$1$		$3$	$232243200$	$3.952740$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.56779$	$[1, 1, 0, -421715875, 3926242778125]$	\(y^2+xy=x^3+x^2-421715875x+3926242778125\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.4, 76.12.0.?, $\ldots$	$[(17725, 1412575)]$
383040.hx4	383040hx1	383040.hx	383040hx	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{46} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2280$	$48$	$0$	$1$	$1$		$1$	$41287680$	$3.264828$	$-11283450590382195961/2530373271552000$	$0.98187$	$4.92114$	$[0, 0, 0, -26915052, 63308131504]$	\(y^2=x^3-26915052x+63308131504\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 190.6.0.?, $\ldots$	$[ ]$
383040.on4	383040on1	383040.on	383040on	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \)	\( - 2^{46} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$2280$	$48$	$0$	$12.04254928$	$1$		$1$	$41287680$	$3.264828$	$-11283450590382195961/2530373271552000$	$0.98187$	$4.92114$	$[0, 0, 0, -26915052, -63308131504]$	\(y^2=x^3-26915052x-63308131504\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 190.6.0.?, $\ldots$	$[(4419937/4, 9290666385/4)]$
418950.hx4	418950hx1	418950.hx	418950hx	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{10} \cdot 5^{9} \cdot 7^{8} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$15960$	$48$	$0$	$1$	$9$	$3$	$1$	$247726080$	$4.002777$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.57113$	$[1, -1, 0, -515170917, -5301308977259]$	\(y^2+xy=x^3-x^2-515170917x-5301308977259\)	2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 190.6.0.?, $\ldots$	$[ ]$
478800.bb4	478800bb1	478800.bb	478800bb	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( - 2^{40} \cdot 3^{10} \cdot 5^{9} \cdot 7^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$2280$	$48$	$0$	$1$	$4$	$2$	$1$	$123863040$	$3.722973$	$-11283450590382195961/2530373271552000$	$0.98187$	$5.25753$	$[0, 0, 0, -168219075, -989189554750]$	\(y^2=x^3-168219075x-989189554750\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$	$[ ]$
482790.fw4	482790fw1	482790.fw	482790fw	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( - 2^{28} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 11^{6} \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$25080$	$48$	$0$	$0.533964066$	$1$		$31$	$34406400$	$2.874748$	$-11283450590382195961/2530373271552000$	$0.98187$	$4.47645$	$[1, 1, 1, -5654030, 6093066827]$	\(y^2+xy+y=x^3+x^2-5654030x+6093066827\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 190.6.0.?, 220.12.0.?, $\ldots$	$[(17, 77431), (6417, 480631)]$

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