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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 117117.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117117.c1 | 117117w1 | \([0, 0, 1, -3080181, 1720997320]\) | \(26232410028444086272/4795233247959077\) | \(590777531381806245477\) | \([]\) | \(6842880\) | \(2.7043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117117.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 117117.c do not have complex multiplication.Modular form 117117.2.a.c
sage: E.q_eigenform(10)