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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 141570bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.dl1 | 141570bx1 | \([1, -1, 1, -23, -175953]\) | \(-14641/151632000\) | \(-13375307088000\) | \([]\) | \(290304\) | \(1.1976\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570bx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141570bx do not have complex multiplication.Modular form 141570.2.a.bx
sage: E.q_eigenform(10)