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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 43560.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 43560.bb1 | 43560by1 | \([0, 0, 0, 84288237, -490848499933]\) | \(218902267299584/470715894135\) | \(-142407619059186390214934640\) | \([]\) | \(13601280\) | \(3.7026\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43560.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43560.bb do not have complex multiplication.Modular form 43560.2.a.bb
sage: E.q_eigenform(10)