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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 160446c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.bi1 | 160446c1 | \([1, 0, 0, -761637, 376334289]\) | \(-227943056622193/153608369616\) | \(-32927318223120159696\) | \([]\) | \(7332864\) | \(2.4457\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160446c do not have complex multiplication.Modular form 160446.2.a.c
sage: E.q_eigenform(10)