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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 2601.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2601.d1 | 2601f1 | \([1, -1, 1, -8291, 636310]\) | \(-459\) | \(-137303833711203\) | \([]\) | \(7344\) | \(1.4016\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2601.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2601.d do not have complex multiplication.Modular form 2601.2.a.d
sage: E.q_eigenform(10)