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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
4095.g1	4095f2	4095.g	4095f	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$0$	$2688$	$0.591702$	$38034753147/15925$	$0.86449$	$4.11773$	$[1, -1, 1, -1892, -31184]$	\(y^2+xy+y=x^3-x^2-1892x-31184\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
4095.l1	4095c2	4095.l	4095c	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$0.722994511$	$1$		$4$	$896$	$0.042396$	$38034753147/15925$	$0.86449$	$3.32522$	$[1, -1, 0, -210, 1225]$	\(y^2+xy=x^3-x^2-210x+1225\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(0, 35)]$
20475.g1	20475b2	20475.g	20475b	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$0.650039077$	$1$		$8$	$21504$	$0.847115$	$38034753147/15925$	$0.86449$	$3.75888$	$[1, -1, 1, -5255, 147872]$	\(y^2+xy+y=x^3-x^2-5255x+147872\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(34, 70)]$
20475.u1	20475a2	20475.u	20475a	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$4.005098467$	$1$		$0$	$64512$	$1.396421$	$38034753147/15925$	$0.86449$	$4.42290$	$[1, -1, 0, -47292, -3945259]$	\(y^2+xy=x^3-x^2-47292x-3945259\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(3271/2, 176279/2)]$
28665.h1	28665d2	28665.h	28665d	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.948770754$	$1$		$16$	$129024$	$1.564657$	$38034753147/15925$	$0.86449$	$4.47460$	$[1, -1, 1, -92693, 10881406]$	\(y^2+xy+y=x^3-x^2-92693x+10881406\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(170, 37), (191, 247)]$
28665.bs1	28665m2	28665.bs	28665m	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.740878579$	$1$		$0$	$43008$	$1.015350$	$38034753147/15925$	$0.86449$	$3.83235$	$[1, -1, 0, -10299, -399582]$	\(y^2+xy=x^3-x^2-10299x-399582\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(547/2, 6313/2)]$
53235.l1	53235d2	53235.l	53235d	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$0.975934844$	$1$		$16$	$150528$	$1.324871$	$38034753147/15925$	$0.86449$	$3.95565$	$[1, -1, 1, -35522, 2584794]$	\(y^2+xy+y=x^3-x^2-35522x+2584794\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(114, 27), (102, 71)]$
53235.y1	53235a2	53235.y	53235a	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.857005170$	$1$		$2$	$451584$	$1.874176$	$38034753147/15925$	$0.86449$	$4.56137$	$[1, -1, 0, -319695, -69469750]$	\(y^2+xy=x^3-x^2-319695x-69469750\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(842, 15634)]$
65520.j1	65520bv2	65520.j	65520bv	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1.628855598$	$1$		$7$	$57344$	$0.735543$	$38034753147/15925$	$0.86449$	$3.24391$	$[0, 0, 0, -3363, -75038]$	\(y^2=x^3-3363x-75038\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-33, 2)]$
65520.db1	65520ce2	65520.db	65520ce	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$172032$	$1.284849$	$38034753147/15925$	$0.86449$	$3.83829$	$[0, 0, 0, -30267, 2026026]$	\(y^2=x^3-30267x+2026026\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
143325.bx1	143325ci2	143325.bx	143325ci	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$2.078325520$	$1$		$4$	$1032192$	$1.820070$	$38034753147/15925$	$0.86449$	$4.12619$	$[1, -1, 1, -257480, -50205228]$	\(y^2+xy+y=x^3-x^2-257480x-50205228\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-291, 20)]$
143325.ef1	143325fg2	143325.ef	143325fg	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 3^{9} \cdot 5^{8} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.421995544$	$1$		$2$	$3096576$	$2.369377$	$38034753147/15925$	$0.86449$	$4.68138$	$[1, -1, 0, -2317317, 1357858466]$	\(y^2+xy=x^3-x^2-2317317x+1357858466\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-626, 50938)]$
262080.bc1	262080bc2	262080.bc	262080bc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$1376256$	$1.631422$	$38034753147/15925$	$0.86449$	$3.74514$	$[0, 0, 0, -121068, 16208208]$	\(y^2=x^3-121068x+16208208\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
262080.gf1	262080gf2	262080.gf	262080gf	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$1376256$	$1.631422$	$38034753147/15925$	$0.86449$	$3.74514$	$[0, 0, 0, -121068, -16208208]$	\(y^2=x^3-121068x-16208208\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
262080.jh1	262080jh2	262080.jh	262080jh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$4.519782239$	$1$		$1$	$458752$	$1.082117$	$38034753147/15925$	$0.86449$	$3.21681$	$[0, 0, 0, -13452, -600304]$	\(y^2=x^3-13452x-600304\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-596/3, 280/3)]$
262080.kz1	262080kz2	262080.kz	262080kz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$0.783983364$	$1$		$9$	$458752$	$1.082117$	$38034753147/15925$	$0.86449$	$3.21681$	$[0, 0, 0, -13452, 600304]$	\(y^2=x^3-13452x+600304\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(78, 160)]$
266175.bt1	266175bt2	266175.bt	266175bt	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$0$	$10838016$	$2.678894$	$38034753147/15925$	$0.86449$	$4.74672$	$[1, -1, 1, -7992380, -8691711128]$	\(y^2+xy+y=x^3-x^2-7992380x-8691711128\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
266175.dt1	266175dt2	266175.dt	266175dt	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$0$	$3612672$	$2.129589$	$38034753147/15925$	$0.86449$	$4.21904$	$[1, -1, 0, -888042, 322211241]$	\(y^2+xy=x^3-x^2-888042x+322211241\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
327600.jg1	327600jg2	327600.jg	327600jg	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$3.242278395$	$1$		$5$	$1376256$	$1.540262$	$38034753147/15925$	$0.86449$	$3.59320$	$[0, 0, 0, -84075, -9379750]$	\(y^2=x^3-84075x-9379750\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-169, 46)]$
327600.lt1	327600lt2	327600.lt	327600lt	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$2.237519905$	$1$		$5$	$4128768$	$2.089569$	$38034753147/15925$	$0.86449$	$4.11225$	$[0, 0, 0, -756675, 253253250]$	\(y^2=x^3-756675x+253253250\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(535, 1250)]$
372645.bc1	372645bc2	372645.bc	372645bc	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$0$	$7225344$	$2.297825$	$38034753147/15925$	$0.86449$	$4.26576$	$[1, -1, 1, -1740563, -883103308]$	\(y^2+xy+y=x^3-x^2-1740563x-883103308\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
372645.en1	372645en2	372645.en	372645en	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$7.044751952$	$1$		$2$	$21676032$	$2.847130$	$38034753147/15925$	$0.86449$	$4.77959$	$[1, -1, 0, -15665064, 23859454373]$	\(y^2+xy=x^3-x^2-15665064x+23859454373\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-3356, 198211)]$
458640.eo1	458640eo2	458640.eo	458640eo	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$6.871131083$	$1$		$1$	$8257536$	$2.257805$	$38034753147/15925$	$0.86449$	$4.16097$	$[0, 0, 0, -1483083, -694926918]$	\(y^2=x^3-1483083x-694926918\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(-6257/3, 9386/3)]$
458640.jl1	458640jl2	458640.jl	458640jl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$1$	$2752512$	$1.708498$	$38034753147/15925$	$0.86449$	$3.65532$	$[0, 0, 0, -164787, 25738034]$	\(y^2=x^3-164787x+25738034\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
495495.v1	495495v2	495495.v	495495v	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$1$	$1$		$0$	$1254400$	$1.241343$	$38034753147/15925$	$0.86449$	$3.20628$	$[1, -1, 1, -25433, -1554198]$	\(y^2+xy+y=x^3-x^2-25433x-1554198\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[ ]$
495495.dh1	495495dh2	495495.dh	495495dh	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$5460$	$12$	$0$	$2.659624437$	$1$		$4$	$3763200$	$1.790649$	$38034753147/15925$	$0.86449$	$3.70895$	$[1, -1, 0, -228894, 42192233]$	\(y^2+xy=x^3-x^2-228894x+42192233\)	2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.?	$[(272, -171)]$

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