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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 67760d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67760.bq1 | 67760d1 | \([0, 1, 0, -161, 6059]\) | \(-1024/35\) | \(-15873186560\) | \([]\) | \(38080\) | \(0.63762\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67760d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67760d do not have complex multiplication.Modular form 67760.2.a.d
sage: E.q_eigenform(10)