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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 306918bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
306918.bo1 | 306918bo1 | \([1, -1, 1, -230243, -42498385]\) | \(-76711450249/68204\) | \(-1200137213179404\) | \([]\) | \(3317760\) | \(1.8185\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 306918bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 306918bo do not have complex multiplication.Modular form 306918.2.a.bo
sage: E.q_eigenform(10)