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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 11913f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11913.g1 | 11913f1 | \([1, 0, 1, 7573, 3557459]\) | \(2828663/323433\) | \(-5493044745039753\) | \([]\) | \(82080\) | \(1.6996\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11913f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11913f do not have complex multiplication.Modular form 11913.2.a.f
sage: E.q_eigenform(10)