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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 5776f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5776.b1 | 5776f1 | \([0, 1, 0, -481, 23211]\) | \(-1024/19\) | \(-228831165184\) | \([]\) | \(5760\) | \(0.86074\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5776f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5776f do not have complex multiplication.Modular form 5776.2.a.f
sage: E.q_eigenform(10)