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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 283220.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283220.bo1 | 283220bo1 | \([0, -1, 0, -2567861, 1583906801]\) | \(8912896/5\) | \(1050484335585547520\) | \([]\) | \(9253440\) | \(2.4051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283220.bo1 has rank \(2\).
Complex multiplication
The elliptic curves in class 283220.bo do not have complex multiplication.Modular form 283220.2.a.bo
sage: E.q_eigenform(10)