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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 109554c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
109554.e1 | 109554c1 | \([1, 1, 0, -5134185284, 216555842972880]\) | \(-17548692913948559923273/13598606862742493184\) | \(-11598129914916747302136631302144\) | \([]\) | \(402161760\) | \(4.6595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109554c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 109554c do not have complex multiplication.Modular form 109554.2.a.c
sage: E.q_eigenform(10)