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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 17136.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17136.b1 | 17136bb1 | \([0, 0, 0, 141, -2126]\) | \(103823/714\) | \(-2131992576\) | \([]\) | \(7680\) | \(0.47170\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17136.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17136.b do not have complex multiplication.Modular form 17136.2.a.b
sage: E.q_eigenform(10)