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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 7942.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7942.c1 | 7942e1 | \([1, 0, 1, -8, -6]\) | \(130321/44\) | \(15884\) | \([]\) | \(720\) | \(-0.49159\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7942.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 7942.c do not have complex multiplication.Modular form 7942.2.a.c
sage: E.q_eigenform(10)