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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 25383.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25383.a1 | 25383a1 | \([0, -1, 1, -32, 80]\) | \(3738308608/76149\) | \(76149\) | \([]\) | \(7680\) | \(-0.27248\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25383.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 25383.a do not have complex multiplication.Modular form 25383.2.a.a
sage: E.q_eigenform(10)