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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 94864c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94864.cj1 | 94864c1 | \([0, 1, 0, -1976, 30743]\) | \(12544\) | \(68056287376\) | \([]\) | \(64800\) | \(0.82207\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94864c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94864c do not have complex multiplication.Modular form 94864.2.a.c
sage: E.q_eigenform(10)