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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 64400.bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.bx1 | 64400r1 | \([0, 1, 0, -5033, 150563]\) | \(-3525581824/462875\) | \(-1851500000000\) | \([]\) | \(82944\) | \(1.0869\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64400.bx do not have complex multiplication.Modular form 64400.2.a.bx
sage: E.q_eigenform(10)