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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 328560.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
328560.bo1 | 328560bo1 | \([0, 1, 0, -20991, -1179216]\) | \(-34112763904/54675\) | \(-1639516042800\) | \([]\) | \(774144\) | \(1.2414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328560.bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 328560.bo do not have complex multiplication.Modular form 328560.2.a.bo
sage: E.q_eigenform(10)