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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 41070d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41070.g1 | 41070d1 | \([1, 1, 0, -1184213, -496507707]\) | \(-71581931663761/199800\) | \(-512632136518200\) | \([]\) | \(590976\) | \(2.0548\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41070d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41070d do not have complex multiplication.Modular form 41070.2.a.d
sage: E.q_eigenform(10)