Elliptic curve search results

Results (19 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
1003.c1	1003b1	1003.c	1003b	$1$	$1$	\( 17 \cdot 59 \)	\( - 17^{2} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$118$	$2$	$0$	$1$	$1$		$0$	$48$	$-0.477463$	$-47045881/17051$	$0.87596$	$2.62677$	$[1, 0, 1, -8, -11]$	\(y^2+xy+y=x^3-8x-11\)	118.2.0.?	$[]$
9027.b1	9027d1	9027.b	9027d	$1$	$1$	\( 3^{2} \cdot 17 \cdot 59 \)	\( - 3^{6} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$0.630564931$	$1$		$4$	$1440$	$0.071844$	$-47045881/17051$	$0.87596$	$2.71681$	$[1, -1, 1, -68, 290]$	\(y^2+xy+y=x^3-x^2-68x+290\)	118.2.0.?	$[(4, 6)]$
16048.k1	16048bb1	16048.k	16048bb	$1$	$1$	\( 2^{4} \cdot 17 \cdot 59 \)	\( - 2^{12} \cdot 17^{2} \cdot 59 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$0.391215006$	$1$		$14$	$3072$	$0.215685$	$-47045881/17051$	$0.87596$	$2.73363$	$[0, -1, 0, -120, 688]$	\(y^2=x^3-x^2-120x+688\)	118.2.0.?	$[(28, 136), (-6, 34)]$
17051.c1	17051b1	17051.c	17051b	$1$	$1$	\( 17^{2} \cdot 59 \)	\( - 17^{8} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.941683043$	$1$		$2$	$13824$	$0.939144$	$-47045881/17051$	$0.87596$	$3.60759$	$[1, 1, 0, -2173, -50644]$	\(y^2+xy=x^3+x^2-2173x-50644\)	118.2.0.?	$[(460, 9596)]$
25075.e1	25075b1	25075.e	25075b	$1$	$1$	\( 5^{2} \cdot 17 \cdot 59 \)	\( - 5^{6} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.794002954$	$1$		$4$	$6720$	$0.327256$	$-47045881/17051$	$0.87596$	$2.74537$	$[1, 1, 1, -188, -1344]$	\(y^2+xy+y=x^3+x^2-188x-1344\)	118.2.0.?	$[(16, 0)]$
49147.d1	49147c1	49147.d	49147c	$1$	$1$	\( 7^{2} \cdot 17 \cdot 59 \)	\( - 7^{6} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.546763406$	$1$		$2$	$15840$	$0.495492$	$-47045881/17051$	$0.87596$	$2.76123$	$[1, 1, 0, -368, 3319]$	\(y^2+xy=x^3+x^2-368x+3319\)	118.2.0.?	$[(14, 27)]$
59177.b1	59177d1	59177.b	59177d	$1$	$1$	\( 17 \cdot 59^{2} \)	\( - 17^{2} \cdot 59^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.293536034$	$1$		$2$	$167040$	$1.561306$	$-47045881/17051$	$0.87596$	$3.87851$	$[1, 0, 0, -26180, 2077043]$	\(y^2+xy=x^3-26180x+2077043\)	118.2.0.?	$[(2414, 117147)]$
64192.v1	64192bc1	64192.v	64192bc	$1$	$1$	\( 2^{6} \cdot 17 \cdot 59 \)	\( - 2^{18} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.984737841$	$1$		$2$	$24576$	$0.562258$	$-47045881/17051$	$0.87596$	$2.76699$	$[0, -1, 0, -481, -5023]$	\(y^2=x^3-x^2-481x-5023\)	118.2.0.?	$[(47, 272)]$
64192.bt1	64192cb1	64192.bt	64192cb	$1$	$1$	\( 2^{6} \cdot 17 \cdot 59 \)	\( - 2^{18} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.158663668$	$1$		$2$	$24576$	$0.562258$	$-47045881/17051$	$0.87596$	$2.76699$	$[0, 1, 0, -481, 5023]$	\(y^2=x^3+x^2-481x+5023\)	118.2.0.?	$[(21, 68)]$
121363.b1	121363c1	121363.b	121363c	$1$	$1$	\( 11^{2} \cdot 17 \cdot 59 \)	\( - 11^{6} \cdot 17^{2} \cdot 59 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.903198801$	$1$		$8$	$61440$	$0.721485$	$-47045881/17051$	$0.87596$	$2.77967$	$[1, 0, 0, -910, 13399]$	\(y^2+xy=x^3-910x+13399\)	118.2.0.?	$[(21, 50), (310/3, 3649/3)]$
144432.n1	144432h1	144432.n	144432h	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 17 \cdot 59 \)	\( - 2^{12} \cdot 3^{6} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.488314802$	$1$		$2$	$92160$	$0.764991$	$-47045881/17051$	$0.87596$	$2.78290$	$[0, 0, 0, -1083, -17494]$	\(y^2=x^3-1083x-17494\)	118.2.0.?	$[(53, 272)]$
153459.d1	153459c1	153459.d	153459c	$1$	$1$	\( 3^{2} \cdot 17^{2} \cdot 59 \)	\( - 3^{6} \cdot 17^{8} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$2.256991048$	$1$		$0$	$414720$	$1.488451$	$-47045881/17051$	$0.87596$	$3.49579$	$[1, -1, 1, -19562, 1347828]$	\(y^2+xy+y=x^3-x^2-19562x+1347828\)	118.2.0.?	$[(-33/2, 9855/2)]$
169507.c1	169507c1	169507.c	169507c	$1$	$1$	\( 13^{2} \cdot 17 \cdot 59 \)	\( - 13^{6} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.046877592$	$1$		$4$	$112896$	$0.805012$	$-47045881/17051$	$0.87596$	$2.78578$	$[1, 0, 0, -1271, -22348]$	\(y^2+xy=x^3-1271x-22348\)	118.2.0.?	$[(131, 1371)]$
225675.bb1	225675be1	225675.bb	225675be	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 17 \cdot 59 \)	\( - 3^{6} \cdot 5^{6} \cdot 17^{2} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$201600$	$0.876562$	$-47045881/17051$	$0.87596$	$2.79076$	$[1, -1, 0, -1692, 34591]$	\(y^2+xy=x^3-x^2-1692x+34591\)	118.2.0.?	$[]$
272816.bf1	272816bf1	272816.bf	272816bf	$1$	$1$	\( 2^{4} \cdot 17^{2} \cdot 59 \)	\( - 2^{12} \cdot 17^{8} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.332902429$	$1$		$4$	$884736$	$1.632292$	$-47045881/17051$	$0.87596$	$3.47300$	$[0, 1, 0, -34776, 3171668]$	\(y^2=x^3+x^2-34776x+3171668\)	118.2.0.?	$[(-74, 2312)]$
362083.c1	362083c1	362083.c	362083c	$1$	$1$	\( 17 \cdot 19^{2} \cdot 59 \)	\( - 17^{2} \cdot 19^{6} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$303264$	$0.994757$	$-47045881/17051$	$0.87596$	$2.79848$	$[1, 1, 1, -2715, 68308]$	\(y^2+xy+y=x^3+x^2-2715x+68308\)	118.2.0.?	$[]$
401200.ct1	401200ct1	401200.ct	401200ct	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 17 \cdot 59 \)	\( - 2^{12} \cdot 5^{6} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.331963617$	$1$		$2$	$430080$	$1.020403$	$-47045881/17051$	$0.87596$	$2.80009$	$[0, 1, 0, -3008, 79988]$	\(y^2=x^3+x^2-3008x+79988\)	118.2.0.?	$[(2, 272)]$
426275.h1	426275h1	426275.h	426275h	$1$	$1$	\( 5^{2} \cdot 17^{2} \cdot 59 \)	\( - 5^{6} \cdot 17^{8} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$9.566593308$	$1$		$0$	$1935360$	$1.743862$	$-47045881/17051$	$0.87596$	$3.45671$	$[1, 0, 0, -54338, -6221833]$	\(y^2+xy=x^3-54338x-6221833\)	118.2.0.?	$[(846862/33, 724224679/33)]$
442323.f1	442323f1	442323.f	442323f	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 17 \cdot 59 \)	\( - 3^{6} \cdot 7^{6} \cdot 17^{2} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$475200$	$1.044798$	$-47045881/17051$	$0.87596$	$2.80159$	$[1, -1, 1, -3317, -92928]$	\(y^2+xy+y=x^3-x^2-3317x-92928\)	118.2.0.?	$[]$