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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 61347d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61347.o1 | 61347d1 | \([0, -1, 1, -1239, -30691]\) | \(-360448/507\) | \(-296110251723\) | \([]\) | \(64512\) | \(0.89344\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61347d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61347d do not have complex multiplication.Modular form 61347.2.a.d
sage: E.q_eigenform(10)