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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 118580.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118580.a1 | 118580d1 | \([0, 0, 0, -41503, 6391462]\) | \(-3024/5\) | \(-13072251679182080\) | \([]\) | \(1411200\) | \(1.7833\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118580.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 118580.a do not have complex multiplication.Modular form 118580.2.a.a
sage: E.q_eigenform(10)