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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 118354c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.e1 | 118354c1 | \([1, 1, 0, -56245876237, 5134310932056413]\) | \(-466534433251600609479662161/5291119462055936\) | \(-223182242467800231471742976\) | \([]\) | \(200448000\) | \(4.6236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 118354c do not have complex multiplication.Modular form 118354.2.a.c
sage: E.q_eigenform(10)