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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 86190.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
86190.bt1 | 86190bt1 | \([1, 1, 1, -101, -5101]\) | \(-674636521/65025000\) | \(-10989225000\) | \([]\) | \(63360\) | \(0.60625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 86190.bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 86190.bt do not have complex multiplication.Modular form 86190.2.a.bt
sage: E.q_eigenform(10)