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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 106560bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106560.cj1 | 106560bt1 | \([0, 0, 0, 852, 37168]\) | \(357911/3330\) | \(-636372910080\) | \([]\) | \(122880\) | \(0.94614\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106560bt do not have complex multiplication.Modular form 106560.2.a.bt
sage: E.q_eigenform(10)