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SageMath
E = EllipticCurve("dg1")
E.isogeny_class()
Elliptic curves in class 84966.dg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.dg1 | 84966dc1 | \([1, 1, 1, -31211139, 68762513889]\) | \(-1184052061112257/34349180544\) | \(-97543458319830924852864\) | \([]\) | \(11612160\) | \(3.1904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966.dg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84966.dg do not have complex multiplication.Modular form 84966.2.a.dg
sage: E.q_eigenform(10)