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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 38808bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.bd1 | 38808bt1 | \([0, 0, 0, -42903, 4070871]\) | \(-80850237696/19487171\) | \(-2105010135519984\) | \([]\) | \(193536\) | \(1.6589\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808bt1 has rank \(2\).
Complex multiplication
The elliptic curves in class 38808bt do not have complex multiplication.Modular form 38808.2.a.bt
sage: E.q_eigenform(10)