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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 300560bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
300560.bg1 | 300560bg1 | \([0, 1, 0, -18320, -963820]\) | \(-574468255729/2284880\) | \(-2704712990720\) | \([]\) | \(470016\) | \(1.2427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 300560bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 300560bg do not have complex multiplication.Modular form 300560.2.a.bg
sage: E.q_eigenform(10)