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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 137904bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
137904.m1 | 137904bg1 | \([0, -1, 0, 139, -183]\) | \(6815744/4131\) | \(-178723584\) | \([]\) | \(40320\) | \(0.27268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 137904bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 137904bg do not have complex multiplication.Modular form 137904.2.a.bg
sage: E.q_eigenform(10)