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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 344760.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.bo1 | 344760bo1 | \([0, 1, 0, -2255361, -12068144685]\) | \(-1026767289066496/50316682419315\) | \(-62174467981233002453760\) | \([]\) | \(35642880\) | \(3.0537\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760.bo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 344760.bo do not have complex multiplication.Modular form 344760.2.a.bo
sage: E.q_eigenform(10)