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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 190575bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.w1 | 190575bx1 | \([1, -1, 1, 2320, 71822]\) | \(1082565/2401\) | \(-3064088671875\) | \([]\) | \(230400\) | \(1.0801\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190575bx do not have complex multiplication.Modular form 190575.2.a.bx
sage: E.q_eigenform(10)