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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 195.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
195.c1 | 195c1 | \([0, 1, 1, -66, -349]\) | \(-32278933504/27421875\) | \(-27421875\) | \([]\) | \(84\) | \(0.12485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 195.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 195.c do not have complex multiplication.Modular form 195.2.a.c
sage: E.q_eigenform(10)