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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 151321a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
151321.a1 | 151321a1 | \([0, -1, 1, -353082, 58436527]\) | \(1404928/389\) | \(1347867523649523629\) | \([]\) | \(6052800\) | \(2.1861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151321a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 151321a do not have complex multiplication.Modular form 151321.2.a.a
sage: E.q_eigenform(10)