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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 189618.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
189618.bp1 | 189618h1 | \([1, 0, 0, -9396, -351378]\) | \(-41756642210557/4634982\) | \(-10183055454\) | \([]\) | \(228096\) | \(0.94915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 189618.bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 189618.bp do not have complex multiplication.Modular form 189618.2.a.bp
sage: E.q_eigenform(10)