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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 176400.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.bp1 | 176400sj1 | \([0, 0, 0, -1620675, 1021025250]\) | \(-2646\) | \(-177918730434144000000\) | \([]\) | \(5644800\) | \(2.5954\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.bp do not have complex multiplication.Modular form 176400.2.a.bp
sage: E.q_eigenform(10)