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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 190608bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190608.n1 | 190608bo1 | \([0, -1, 0, -18922296, -31823760528]\) | \(-3888335020909249/21120891264\) | \(-4069994238034262360064\) | \([]\) | \(10160640\) | \(2.9904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190608bo do not have complex multiplication.Modular form 190608.2.a.bo
sage: E.q_eigenform(10)