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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 186.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
186.b1 | 186c1 | \([1, 0, 1, -17, -28]\) | \(-498677257/11904\) | \(-11904\) | \([]\) | \(28\) | \(-0.43184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 186.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 186.b do not have complex multiplication.Modular form 186.2.a.b
sage: E.q_eigenform(10)