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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 117600bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117600.m1 | 117600bx1 | \([0, -1, 0, -408, -2988]\) | \(480200/9\) | \(141120000\) | \([]\) | \(34560\) | \(0.35771\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117600bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 117600bx do not have complex multiplication.Modular form 117600.2.a.bx
sage: E.q_eigenform(10)