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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 344760.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.bg1 | 344760bg1 | \([0, -1, 0, 1291780, -2792217975]\) | \(3086803246205696/45384521484375\) | \(-3504998668183593750000\) | \([]\) | \(18869760\) | \(2.8147\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 344760.bg do not have complex multiplication.Modular form 344760.2.a.bg
sage: E.q_eigenform(10)