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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 244398.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
244398.bo1 | 244398bo1 | \([1, 0, 0, -61375, -57940327]\) | \(-172715635009/9694992384\) | \(-1435206816413669376\) | \([]\) | \(3717120\) | \(2.1639\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 244398.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 244398.bo do not have complex multiplication.Modular form 244398.2.a.bo
sage: E.q_eigenform(10)