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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 133200.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133200.bg1 | 133200bv1 | \([0, 0, 0, -120000, -52450000]\) | \(-6553600/36963\) | \(-1077841080000000000\) | \([]\) | \(1658880\) | \(2.1441\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 133200.bg do not have complex multiplication.Modular form 133200.2.a.bg
sage: E.q_eigenform(10)