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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 2888f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2888.f1 | 2888f1 | \([0, -1, 0, -481, -23211]\) | \(-1024/19\) | \(-228831165184\) | \([]\) | \(2880\) | \(0.86074\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2888f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2888f do not have complex multiplication.Modular form 2888.2.a.f
sage: E.q_eigenform(10)