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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 25242.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25242.d1 | 25242e1 | \([1, 0, 1, -15, 130]\) | \(-338608873/7269696\) | \(-7269696\) | \([]\) | \(7056\) | \(-0.0025582\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25242.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25242.d do not have complex multiplication.Modular form 25242.2.a.d
sage: E.q_eigenform(10)