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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 265598.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265598.c1 | 265598c1 | \([1, 0, 1, -5919, 164550]\) | \(4826809/316\) | \(1501032940156\) | \([]\) | \(544000\) | \(1.0862\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265598.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 265598.c do not have complex multiplication.Modular form 265598.2.a.c
sage: E.q_eigenform(10)