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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 234446.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234446.c1 | 234446c1 | \([1, 1, 1, -949, -7845]\) | \(94525928327377/30729306112\) | \(30729306112\) | \([]\) | \(229824\) | \(0.71565\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234446.c1 has rank \(3\).
Complex multiplication
The elliptic curves in class 234446.c do not have complex multiplication.Modular form 234446.2.a.c
sage: E.q_eigenform(10)