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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 195.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
195.b1 | 195d1 | \([0, -1, 1, -190, 1101]\) | \(-762549907456/24024195\) | \(-24024195\) | \([]\) | \(84\) | \(0.19257\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 195.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 195.b do not have complex multiplication.Modular form 195.2.a.b
sage: E.q_eigenform(10)