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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 211600.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
211600.bo1 | 211600dh1 | \([0, -1, 0, -57308, 5482987]\) | \(-562432/23\) | \(-851206361750000\) | \([]\) | \(1081344\) | \(1.6323\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 211600.bo1 has rank \(2\).
Complex multiplication
The elliptic curves in class 211600.bo do not have complex multiplication.Modular form 211600.2.a.bo
sage: E.q_eigenform(10)