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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 94640bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94640.a1 | 94640bx1 | \([0, 0, 0, -208, -6032]\) | \(-1437696/21875\) | \(-15142400000\) | \([]\) | \(120000\) | \(0.63478\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94640bx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 94640bx do not have complex multiplication.Modular form 94640.2.a.bx
sage: E.q_eigenform(10)