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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 453152d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
453152.d1 | 453152d1 | \([0, 1, 0, -231296, -373183784]\) | \(-392/17\) | \(-59346185640962343424\) | \([]\) | \(8128512\) | \(2.4742\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 453152d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 453152d do not have complex multiplication.Modular form 453152.2.a.d
sage: E.q_eigenform(10)