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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 141570.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.bg1 | 141570ek1 | \([1, -1, 0, -2745, 4132651]\) | \(-121/390\) | \(-7374269188310310\) | \([]\) | \(1182720\) | \(1.7237\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141570.bg do not have complex multiplication.Modular form 141570.2.a.bg
sage: E.q_eigenform(10)