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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 11560.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11560.c1 | 11560f1 | \([0, 1, 0, -111361, 14056275]\) | \(295936/5\) | \(2580472192574720\) | \([]\) | \(73440\) | \(1.7551\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11560.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11560.c do not have complex multiplication.Modular form 11560.2.a.c
sage: E.q_eigenform(10)