Elliptic curve search results

Results (18 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
32760.a1	32760c2	32760.a	32760c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$2.532186431$	$1$		$5$	$90112$	$1.249022$	$98104024066032/462109375$	$0.91429$	$3.94904$	$[0, 0, 0, -18303, -949198]$	\(y^2=x^3-18303x-949198\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(-77, 60)]$
32760.bh1	32760z2	32760.bh	32760z	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.446138200$	$1$		$9$	$270336$	$1.798328$	$98104024066032/462109375$	$0.91429$	$4.58304$	$[0, 0, 0, -164727, 25628346]$	\(y^2=x^3-164727x+25628346\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(97, 3250)]$
65520.bz1	65520e2	65520.bz	65520e	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$180224$	$1.249022$	$98104024066032/462109375$	$0.91429$	$3.70222$	$[0, 0, 0, -18303, 949198]$	\(y^2=x^3-18303x+949198\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[]$
65520.dk1	65520k2	65520.dk	65520k	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1.486509618$	$1$		$5$	$540672$	$1.798328$	$98104024066032/462109375$	$0.91429$	$4.29660$	$[0, 0, 0, -164727, -25628346]$	\(y^2=x^3-164727x-25628346\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(-227, 260)]$
163800.cz1	163800cf2	163800.cz	163800cf	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{14} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$2162688$	$2.053741$	$98104024066032/462109375$	$0.91429$	$4.22397$	$[0, 0, 0, -457575, -118649750]$	\(y^2=x^3-457575x-118649750\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[]$
163800.fg1	163800fa2	163800.fg	163800fa	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{14} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$5.495842887$	$1$		$3$	$6488064$	$2.603046$	$98104024066032/462109375$	$0.91429$	$4.77298$	$[0, 0, 0, -4118175, 3203543250]$	\(y^2=x^3-4118175x+3203543250\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(2071, 59644)]$
229320.cm1	229320cr2	229320.cm	229320cr	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$12976128$	$2.771282$	$98104024066032/462109375$	$0.91429$	$4.80643$	$[0, 0, 0, -8071623, -8790522678]$	\(y^2=x^3-8071623x-8790522678\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[]$
229320.cn1	229320ei2	229320.cn	229320ei	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{7} \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.745230302$	$1$		$23$	$4325376$	$2.221977$	$98104024066032/462109375$	$0.91429$	$4.27239$	$[0, 0, 0, -896847, 325574914]$	\(y^2=x^3-896847x+325574914\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(623, 2940), (378, 6370)]$
262080.f1	262080f2	262080.f	262080f	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$9.427611340$	$1$		$9$	$4325376$	$2.144901$	$98104024066032/462109375$	$0.91429$	$4.15253$	$[0, 0, 0, -658908, 205026768]$	\(y^2=x^3-658908x+205026768\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(12, 14040), (336, 4644)]$
262080.ha1	262080ha2	262080.ha	262080ha	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$4$	$2$	$1$	$4325376$	$2.144901$	$98104024066032/462109375$	$0.91429$	$4.15253$	$[0, 0, 0, -658908, -205026768]$	\(y^2=x^3-658908x-205026768\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[]$
262080.ki1	262080ki2	262080.ki	262080ki	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1.949254718$	$1$		$5$	$1441792$	$1.595594$	$98104024066032/462109375$	$0.91429$	$3.62420$	$[0, 0, 0, -73212, -7593584]$	\(y^2=x^3-73212x-7593584\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(477, 8125)]$
262080.km1	262080km2	262080.km	262080km	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$0.937671314$	$1$		$7$	$1441792$	$1.595594$	$98104024066032/462109375$	$0.91429$	$3.62420$	$[0, 0, 0, -73212, 7593584]$	\(y^2=x^3-73212x+7593584\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(173, 325)]$
327600.k1	327600k2	327600.k	327600k	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{14} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$12976128$	$2.603046$	$98104024066032/462109375$	$0.91429$	$4.51247$	$[0, 0, 0, -4118175, -3203543250]$	\(y^2=x^3-4118175x-3203543250\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[]$
327600.gm1	327600gm2	327600.gm	327600gm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{14} \cdot 7 \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$4325376$	$2.053741$	$98104024066032/462109375$	$0.91429$	$3.99342$	$[0, 0, 0, -457575, 118649750]$	\(y^2=x^3-457575x+118649750\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[]$
425880.bj1	425880bj2	425880.bj	425880bj	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$4$	$2$	$1$	$45416448$	$3.080803$	$98104024066032/462109375$	$0.91429$	$4.86344$	$[0, 0, 0, -27838863, 56305476162]$	\(y^2=x^3-27838863x+56305476162\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[]$
425880.fj1	425880fj2	425880.fj	425880fj	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$15138816$	$2.531498$	$98104024066032/462109375$	$0.91429$	$4.35489$	$[0, 0, 0, -3093207, -2085388006]$	\(y^2=x^3-3093207x-2085388006\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[]$
458640.g1	458640g2	458640.g	458640g	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{7} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$4.048440915$	$1$		$3$	$25952256$	$2.771282$	$98104024066032/462109375$	$0.91429$	$4.55087$	$[0, 0, 0, -8071623, 8790522678]$	\(y^2=x^3-8071623x+8790522678\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[(1446, 11934)]$
458640.og1	458640og2	458640.og	458640og	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{7} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$84$	$12$	$0$	$1$	$1$		$1$	$8650752$	$2.221977$	$98104024066032/462109375$	$0.91429$	$4.04522$	$[0, 0, 0, -896847, -325574914]$	\(y^2=x^3-896847x-325574914\)	2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.?	$[]$