Elliptic curve search results

Results (29 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
1976.a1	1976a1	1976.a	1976a	$1$	$1$	\( 2^{3} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$0.487827471$	$1$		$4$	$80$	$-0.629915$	$6912/247$	$0.75459$	$2.07151$	$[0, 0, 0, 1, 3]$	\(y^2=x^3+x+3\)	494.2.0.?	$[(-1, 1)]$
3952.f1	3952b1	3952.f	3952b	$1$	$1$	\( 2^{4} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 13 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$160$	$-0.629915$	$6912/247$	$0.75459$	$1.89814$	$[0, 0, 0, 1, -3]$	\(y^2=x^3+x-3\)	494.2.0.?	$[ ]$
15808.k1	15808q1	15808.k	15808q	$1$	$1$	\( 2^{6} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1.951617990$	$1$		$2$	$1280$	$-0.283341$	$6912/247$	$0.75459$	$2.05613$	$[0, 0, 0, 4, -24]$	\(y^2=x^3+4x-24\)	494.2.0.?	$[(5, 11)]$
15808.n1	15808l1	15808.n	15808l	$1$	$1$	\( 2^{6} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$2.007348176$	$1$		$2$	$1280$	$-0.283341$	$6912/247$	$0.75459$	$2.05613$	$[0, 0, 0, 4, 24]$	\(y^2=x^3+4x+24\)	494.2.0.?	$[(5, 13)]$
17784.d1	17784m1	17784.d	17784m	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1.039505834$	$1$		$2$	$2560$	$-0.080609$	$6912/247$	$0.75459$	$2.27998$	$[0, 0, 0, 9, -81]$	\(y^2=x^3+9x-81\)	494.2.0.?	$[(9, 27)]$
25688.f1	25688h1	25688.f	25688h	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 13^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$0.552880242$	$1$		$2$	$13440$	$0.652559$	$6912/247$	$0.75459$	$3.06389$	$[0, 0, 0, 169, 6591]$	\(y^2=x^3+169x+6591\)	494.2.0.?	$[(26, 169)]$
35568.j1	35568n1	35568.j	35568n	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$0.829893529$	$1$		$4$	$5120$	$-0.080609$	$6912/247$	$0.75459$	$2.12917$	$[0, 0, 0, 9, 81]$	\(y^2=x^3+9x+81\)	494.2.0.?	$[(0, 9)]$
37544.i1	37544k1	37544.i	37544k	$1$	$1$	\( 2^{3} \cdot 13 \cdot 19^{2} \)	\( - 2^{4} \cdot 13 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$28800$	$0.842304$	$6912/247$	$0.75459$	$3.16967$	$[0, 0, 0, 361, -20577]$	\(y^2=x^3+361x-20577\)	494.2.0.?	$[ ]$
49400.p1	49400t1	49400.p	49400t	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 5^{6} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$0.613377494$	$1$		$4$	$10240$	$0.174804$	$6912/247$	$0.75459$	$2.34805$	$[0, 0, 0, 25, 375]$	\(y^2=x^3+25x+375\)	494.2.0.?	$[(5, 25)]$
51376.n1	51376b1	51376.n	51376b	$1$	$1$	\( 2^{4} \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 13^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1.603746678$	$1$		$0$	$26880$	$0.652559$	$6912/247$	$0.75459$	$2.86810$	$[0, 0, 0, 169, -6591]$	\(y^2=x^3+169x-6591\)	494.2.0.?	$[(65/2, 169/2)]$
75088.t1	75088i1	75088.t	75088i	$1$	$1$	\( 2^{4} \cdot 13 \cdot 19^{2} \)	\( - 2^{4} \cdot 13 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$2.480823879$	$1$		$2$	$57600$	$0.842304$	$6912/247$	$0.75459$	$2.97397$	$[0, 0, 0, 361, 20577]$	\(y^2=x^3+361x+20577\)	494.2.0.?	$[(456, 9747)]$
96824.g1	96824e1	96824.g	96824e	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 7^{6} \cdot 13 \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$2.804402743$	$1$		$10$	$28800$	$0.343040$	$6912/247$	$0.75459$	$2.38626$	$[0, 0, 0, 49, -1029]$	\(y^2=x^3+49x-1029\)	494.2.0.?	$[(14, 49), (11, 29)]$
98800.bv1	98800q1	98800.bv	98800q	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 5^{6} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$4.172307894$	$1$		$2$	$20480$	$0.174804$	$6912/247$	$0.75459$	$2.20653$	$[0, 0, 0, 25, -375]$	\(y^2=x^3+25x-375\)	494.2.0.?	$[(320, 5725)]$
142272.fe1	142272bu1	142272.fe	142272bu	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{6} \cdot 13 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$40960$	$0.265965$	$6912/247$	$0.75459$	$2.23092$	$[0, 0, 0, 36, 648]$	\(y^2=x^3+36x+648\)	494.2.0.?	$[ ]$
142272.fl1	142272fg1	142272.fl	142272fg	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 3^{6} \cdot 13 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$40960$	$0.265965$	$6912/247$	$0.75459$	$2.23092$	$[0, 0, 0, 36, -648]$	\(y^2=x^3+36x-648\)	494.2.0.?	$[ ]$
193648.w1	193648bn1	193648.w	193648bn	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 7^{6} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$2.207706105$	$1$		$0$	$57600$	$0.343040$	$6912/247$	$0.75459$	$2.25039$	$[0, 0, 0, 49, 1029]$	\(y^2=x^3+49x+1029\)	494.2.0.?	$[(-7/2, 245/2)]$
205504.bn1	205504cg1	205504.bn	205504cg	$1$	$1$	\( 2^{6} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 13^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$4.242189317$	$1$		$2$	$215040$	$0.999133$	$6912/247$	$0.75459$	$2.88305$	$[0, 0, 0, 676, 52728]$	\(y^2=x^3+676x+52728\)	494.2.0.?	$[(29, 311)]$
205504.bq1	205504s1	205504.bq	205504s	$1$	$1$	\( 2^{6} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 13^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$12.91719182$	$1$		$0$	$215040$	$0.999133$	$6912/247$	$0.75459$	$2.88305$	$[0, 0, 0, 676, -52728]$	\(y^2=x^3+676x-52728\)	494.2.0.?	$[(348461/49, 207219767/49)]$
231192.bk1	231192bk1	231192.bk	231192bk	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 13^{7} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1.323245519$	$1$		$2$	$430080$	$1.201866$	$6912/247$	$0.75459$	$3.05252$	$[0, 0, 0, 1521, -177957]$	\(y^2=x^3+1521x-177957\)	494.2.0.?	$[(91, 845)]$
239096.i1	239096i1	239096.i	239096i	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 11^{6} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$2.643336908$	$1$		$2$	$86400$	$0.569033$	$6912/247$	$0.75459$	$2.43106$	$[0, 0, 0, 121, -3993]$	\(y^2=x^3+121x-3993\)	494.2.0.?	$[(209, 3025)]$
300352.bi1	300352bi1	300352.bi	300352bi	$1$	$1$	\( 2^{6} \cdot 13 \cdot 19^{2} \)	\( - 2^{10} \cdot 13 \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1.513555757$	$1$		$2$	$460800$	$1.188877$	$6912/247$	$0.75459$	$2.97683$	$[0, 0, 0, 1444, 164616]$	\(y^2=x^3+1444x+164616\)	494.2.0.?	$[(-19, 361)]$
300352.bn1	300352bn1	300352.bn	300352bn	$1$	$1$	\( 2^{6} \cdot 13 \cdot 19^{2} \)	\( - 2^{10} \cdot 13 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$460800$	$1.188877$	$6912/247$	$0.75459$	$2.97683$	$[0, 0, 0, 1444, -164616]$	\(y^2=x^3+1444x-164616\)	494.2.0.?	$[ ]$
337896.k1	337896k1	337896.k	337896k	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 13 \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$921600$	$1.391611$	$6912/247$	$0.75459$	$3.14039$	$[0, 0, 0, 3249, 555579]$	\(y^2=x^3+3249x+555579\)	494.2.0.?	$[ ]$
395200.dm1	395200dm1	395200.dm	395200dm	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 5^{6} \cdot 13 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$163840$	$0.521378$	$6912/247$	$0.75459$	$2.29189$	$[0, 0, 0, 100, 3000]$	\(y^2=x^3+100x+3000\)	494.2.0.?	$[ ]$
395200.ep1	395200ep1	395200.ep	395200ep	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{10} \cdot 5^{6} \cdot 13 \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$163840$	$0.521378$	$6912/247$	$0.75459$	$2.29189$	$[0, 0, 0, 100, -3000]$	\(y^2=x^3+100x-3000\)	494.2.0.?	$[ ]$
444600.bm1	444600bm1	444600.bm	444600bm	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1.947168428$	$1$		$2$	$327680$	$0.724110$	$6912/247$	$0.75459$	$2.45820$	$[0, 0, 0, 225, -10125]$	\(y^2=x^3+225x-10125\)	494.2.0.?	$[(135, 1575)]$
462384.ex1	462384ex1	462384.ex	462384ex	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{4} \cdot 3^{6} \cdot 13^{7} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$860160$	$1.201866$	$6912/247$	$0.75459$	$2.89032$	$[0, 0, 0, 1521, 177957]$	\(y^2=x^3+1521x+177957\)	494.2.0.?	$[ ]$
478192.bn1	478192bn1	478192.bn	478192bn	$1$	$1$	\( 2^{4} \cdot 11^{2} \cdot 13 \cdot 19 \)	\( - 2^{4} \cdot 11^{6} \cdot 13 \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$5.548796529$	$1$		$2$	$172800$	$0.569033$	$6912/247$	$0.75459$	$2.30221$	$[0, 0, 0, 121, 3993]$	\(y^2=x^3+121x+3993\)	494.2.0.?	$[(2816, 149435)]$
488072.n1	488072n1	488072.n	488072n	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 13^{7} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$494$	$2$	$0$	$1$	$1$		$0$	$4838400$	$2.124779$	$6912/247$	$0.75459$	$3.72392$	$[0, 0, 0, 61009, -45207669]$	\(y^2=x^3+61009x-45207669\)	494.2.0.?	$[ ]$

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