Elliptic curve search results

Results (24 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
5070.d1	5070f1	5070.d	5070f	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{11} \cdot 5^{7} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$528528$	$2.979908$	$41689615345255319/28343520000000$	$1.06366$	$6.89110$	$[1, 1, 0, 6749688, 2824854336]$	\(y^2+xy=x^3+x^2+6749688x+2824854336\)	120.2.0.?	$[]$
5070.p1	5070n1	5070.p	5070n	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{11} \cdot 5^{7} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$40656$	$1.697433$	$41689615345255319/28343520000000$	$1.06366$	$5.08715$	$[1, 1, 1, 39939, 1301139]$	\(y^2+xy+y=x^3+x^2+39939x+1301139\)	120.2.0.?	$[]$
15210.s1	15210t1	15210.s	15210t	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{17} \cdot 5^{7} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1.002332457$	$1$		$4$	$325248$	$2.246742$	$41689615345255319/28343520000000$	$1.06366$	$5.19129$	$[1, -1, 0, 359451, -34771307]$	\(y^2+xy=x^3-x^2+359451x-34771307\)	120.2.0.?	$[(167, 5384)]$
15210.be1	15210bi1	15210.be	15210bi	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{17} \cdot 5^{7} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$3.975837621$	$1$		$2$	$4228224$	$3.529217$	$41689615345255319/28343520000000$	$1.06366$	$6.78944$	$[1, -1, 1, 60747187, -76210319883]$	\(y^2+xy+y=x^3-x^2+60747187x-76210319883\)	120.2.0.?	$[(4355, 518328)]$
25350.bf1	25350bc1	25350.bf	25350bc	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{11} \cdot 5^{13} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$975744$	$2.502151$	$41689615345255319/28343520000000$	$1.06366$	$5.23203$	$[1, 0, 1, 998474, 160645448]$	\(y^2+xy+y=x^3+998474x+160645448\)	120.2.0.?	$[]$
25350.dg1	25350cx1	25350.dg	25350cx	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{11} \cdot 5^{13} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.207825278$	$1$		$8$	$12684672$	$3.784626$	$41689615345255319/28343520000000$	$1.06366$	$6.74967$	$[1, 0, 0, 168742187, 352769307617]$	\(y^2+xy=x^3+168742187x+352769307617\)	120.2.0.?	$[(57812, 14230469)]$
40560.bn1	40560cf1	40560.bn	40560cf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{23} \cdot 3^{11} \cdot 5^{7} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.934648980$	$1$		$4$	$975744$	$2.390583$	$41689615345255319/28343520000000$	$1.06366$	$4.87409$	$[0, 1, 0, 639024, -81994860]$	\(y^2=x^3+x^2+639024x-81994860\)	120.2.0.?	$[(546, 20736)]$
40560.cx1	40560cu1	40560.cx	40560cu	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{23} \cdot 3^{11} \cdot 5^{7} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$12684672$	$3.673058$	$41689615345255319/28343520000000$	$1.06366$	$6.32450$	$[0, 1, 0, 107995000, -180574687500]$	\(y^2=x^3+x^2+107995000x-180574687500\)	120.2.0.?	$[]$
76050.cp1	76050bm1	76050.cp	76050bm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{17} \cdot 5^{13} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$9$	$3$	$0$	$101477376$	$4.333931$	$41689615345255319/28343520000000$	$1.06366$	$6.67639$	$[1, -1, 0, 1518679683, -9524771305659]$	\(y^2+xy=x^3-x^2+1518679683x-9524771305659\)	120.2.0.?	$[]$
76050.du1	76050er1	76050.du	76050er	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{17} \cdot 5^{13} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1.463278617$	$1$		$4$	$7805952$	$3.051460$	$41689615345255319/28343520000000$	$1.06366$	$5.30710$	$[1, -1, 1, 8986270, -4337427103]$	\(y^2+xy+y=x^3-x^2+8986270x-4337427103\)	120.2.0.?	$[(5409, 447295)]$
121680.bs1	121680dr1	121680.bs	121680dr	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{23} \cdot 3^{17} \cdot 5^{7} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$37.85197868$	$1$		$0$	$101477376$	$4.222359$	$41689615345255319/28343520000000$	$1.06366$	$6.29406$	$[0, 0, 0, 971954997, 4876488517498]$	\(y^2=x^3+971954997x+4876488517498\)	120.2.0.?	$[(40551467686464141/4606285, 253756203596542246168056064/4606285)]$
121680.dx1	121680fa1	121680.dx	121680fa	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{23} \cdot 3^{17} \cdot 5^{7} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$7805952$	$2.939888$	$41689615345255319/28343520000000$	$1.06366$	$4.97973$	$[0, 0, 0, 5751213, 2219612434]$	\(y^2=x^3+5751213x+2219612434\)	120.2.0.?	$[]$
162240.bk1	162240dz1	162240.bk	162240dz	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{29} \cdot 3^{11} \cdot 5^{7} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$101477376$	$4.019630$	$41689615345255319/28343520000000$	$1.06366$	$5.94034$	$[0, -1, 0, 431979999, -1445029479999]$	\(y^2=x^3-x^2+431979999x-1445029479999\)	120.2.0.?	$[]$
162240.ct1	162240cl1	162240.ct	162240cl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{29} \cdot 3^{11} \cdot 5^{7} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$2.524148353$	$1$		$2$	$7805952$	$2.737156$	$41689615345255319/28343520000000$	$1.06366$	$4.65753$	$[0, -1, 0, 2556095, -658514975]$	\(y^2=x^3-x^2+2556095x-658514975\)	120.2.0.?	$[(1605, 87040)]$
162240.ev1	162240ga1	162240.ev	162240ga	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{29} \cdot 3^{11} \cdot 5^{7} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$101477376$	$4.019630$	$41689615345255319/28343520000000$	$1.06366$	$5.94034$	$[0, 1, 0, 431979999, 1445029479999]$	\(y^2=x^3+x^2+431979999x+1445029479999\)	120.2.0.?	$[]$
162240.hr1	162240fh1	162240.hr	162240fh	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( - 2^{29} \cdot 3^{11} \cdot 5^{7} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.327121442$	$1$		$4$	$7805952$	$2.737156$	$41689615345255319/28343520000000$	$1.06366$	$4.65753$	$[0, 1, 0, 2556095, 658514975]$	\(y^2=x^3+x^2+2556095x+658514975\)	120.2.0.?	$[(3515, 230400)]$
202800.bv1	202800ff1	202800.bv	202800ff	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{23} \cdot 3^{11} \cdot 5^{13} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$4$	$2$	$0$	$304432128$	$4.477776$	$41689615345255319/28343520000000$	$1.06366$	$6.28177$	$[0, -1, 0, 2699874992, -22577235687488]$	\(y^2=x^3-x^2+2699874992x-22577235687488\)	120.2.0.?	$[]$
202800.ec1	202800gb1	202800.ec	202800gb	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{23} \cdot 3^{11} \cdot 5^{13} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$23417856$	$3.195301$	$41689615345255319/28343520000000$	$1.06366$	$5.02238$	$[0, -1, 0, 15975592, -10281308688]$	\(y^2=x^3-x^2+15975592x-10281308688\)	120.2.0.?	$[]$
248430.ct1	248430ct1	248430.ct	248430ct	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{11} \cdot 5^{7} \cdot 7^{6} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$3.587813232$	$1$		$2$	$190270080$	$3.952866$	$41689615345255319/28343520000000$	$1.06366$	$5.67210$	$[1, 0, 1, 330734686, -967932833164]$	\(y^2+xy+y=x^3+330734686x-967932833164\)	120.2.0.?	$[(36180, 7621132)]$
248430.kg1	248430kg1	248430.kg	248430kg	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{11} \cdot 3^{11} \cdot 5^{7} \cdot 7^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$0.121215018$	$1$		$12$	$14636160$	$2.670391$	$41689615345255319/28343520000000$	$1.06366$	$4.43329$	$[1, 0, 0, 1957010, -440419708]$	\(y^2+xy=x^3+1957010x-440419708\)	120.2.0.?	$[(3224, 196838)]$
486720.bw1	486720bw1	486720.bw	486720bw	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{29} \cdot 3^{17} \cdot 5^{7} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$8.802807198$	$1$		$2$	$62447616$	$3.286461$	$41689615345255319/28343520000000$	$1.06366$	$4.77015$	$[0, 0, 0, 23004852, 17756899472]$	\(y^2=x^3+23004852x+17756899472\)	120.2.0.?	$[(816604, 737946288)]$
486720.gp1	486720gp1	486720.gp	486720gp	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{29} \cdot 3^{17} \cdot 5^{7} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$25$	$5$	$0$	$62447616$	$3.286461$	$41689615345255319/28343520000000$	$1.06366$	$4.77015$	$[0, 0, 0, 23004852, -17756899472]$	\(y^2=x^3+23004852x-17756899472\)	120.2.0.?	$[]$
486720.kf1	486720kf1	486720.kf	486720kf	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{29} \cdot 3^{17} \cdot 5^{7} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$2.691513419$	$1$		$2$	$811819008$	$4.568939$	$41689615345255319/28343520000000$	$1.06366$	$5.94535$	$[0, 0, 0, 3887819988, -39011908139984]$	\(y^2=x^3+3887819988x-39011908139984\)	120.2.0.?	$[(22646, 7787520)]$
486720.pe1	486720pe1	486720.pe	486720pe	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( - 2^{29} \cdot 3^{17} \cdot 5^{7} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$120$	$2$	$0$	$1$	$1$		$0$	$811819008$	$4.568939$	$41689615345255319/28343520000000$	$1.06366$	$5.94535$	$[0, 0, 0, 3887819988, 39011908139984]$	\(y^2=x^3+3887819988x+39011908139984\)	120.2.0.?	$[]$