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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 36414.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.bp1 | 36414bp1 | \([1, -1, 0, -3110850, 2112645348]\) | \(654699641761/112\) | \(569556643542768\) | \([]\) | \(1028160\) | \(2.2299\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36414.bp do not have complex multiplication.Modular form 36414.2.a.bp
sage: E.q_eigenform(10)