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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 381150d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.d1 | 381150d1 | \([1, -1, 0, -1019930742, 12983120268916]\) | \(-6989949220475/292626432\) | \(-4912191509102705520000000000\) | \([]\) | \(434903040\) | \(4.0802\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 381150d do not have complex multiplication.Modular form 381150.2.a.d
sage: E.q_eigenform(10)