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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 5239.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5239.c1 | 5239c1 | \([0, -1, 1, 9, -11]\) | \(32768/31\) | \(-68107\) | \([]\) | \(504\) | \(-0.38544\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5239.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5239.c do not have complex multiplication.Modular form 5239.2.a.c
sage: E.q_eigenform(10)