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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 265200.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265200.c1 | 265200c1 | \([0, -1, 0, 292, -52713]\) | \(439040/191607\) | \(-1197543750000\) | \([]\) | \(587520\) | \(0.99670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 265200.c do not have complex multiplication.Modular form 265200.2.a.c
sage: E.q_eigenform(10)