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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 57960bt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57960.be1 | 57960bt1 | \([0, 0, 0, -8427, -298429]\) | \(-5674076449024/14904575\) | \(-173846962800\) | \([]\) | \(80640\) | \(1.0321\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57960bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57960bt do not have complex multiplication.Modular form 57960.2.a.bt
sage: E.q_eigenform(10)