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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 200400.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.bo1 | 200400a1 | \([0, 1, 0, -569208, -166034412]\) | \(-2549455723781/9861183\) | \(-78889464000000000\) | \([]\) | \(2969600\) | \(2.1006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200400.bo do not have complex multiplication.Modular form 200400.2.a.bo
sage: E.q_eigenform(10)