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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 40310d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.k1 | 40310d1 | \([1, 0, 1, -94, 592]\) | \(-90458382169/103193600\) | \(-103193600\) | \([]\) | \(11520\) | \(0.23198\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40310d do not have complex multiplication.Modular form 40310.2.a.d
sage: E.q_eigenform(10)