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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 74256.bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74256.bt1 | 74256cg1 | \([0, -1, 0, 216, 3312]\) | \(270840023/1364454\) | \(-5588803584\) | \([]\) | \(39168\) | \(0.55256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74256.bt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 74256.bt do not have complex multiplication.Modular form 74256.2.a.bt
sage: E.q_eigenform(10)