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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 106560.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106560.c1 | 106560bo1 | \([0, 0, 0, -1008, -11232]\) | \(9483264/925\) | \(11048140800\) | \([]\) | \(100352\) | \(0.66424\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106560.c do not have complex multiplication.Modular form 106560.2.a.c
sage: E.q_eigenform(10)