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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 9360bp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9360.w1 | 9360bp1 | \([0, 0, 0, -48, -1168]\) | \(-4096/195\) | \(-582266880\) | \([]\) | \(3840\) | \(0.36187\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9360bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9360bp do not have complex multiplication.Modular form 9360.2.a.bp
sage: E.q_eigenform(10)