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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 30767.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30767.d1 | 30767b1 | \([0, 1, 1, -4218, -106859]\) | \(8301305492992000/40950877\) | \(40950877\) | \([]\) | \(21504\) | \(0.66010\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30767.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30767.d do not have complex multiplication.Modular form 30767.2.a.d
sage: E.q_eigenform(10)