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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 166410.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.bt1 | 166410l1 | \([1, -1, 1, 427, -17553]\) | \(6401711/101250\) | \(-136477001250\) | \([]\) | \(172032\) | \(0.81721\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410.bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 166410.bt do not have complex multiplication.Modular form 166410.2.a.bt
sage: E.q_eigenform(10)