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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 25071a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25071.a1 | 25071a1 | \([0, -1, 1, -24, -16]\) | \(1593413632/676917\) | \(676917\) | \([]\) | \(8960\) | \(-0.18455\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25071a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 25071a do not have complex multiplication.Modular form 25071.2.a.a
sage: E.q_eigenform(10)