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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 4650.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 4650.bb1 | 4650w1 | \([1, 1, 1, -260018713, 1672242709031]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-83092573588635648000000000\) | \([]\) | \(2185920\) | \(3.7396\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4650.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4650.bb do not have complex multiplication.Modular form 4650.2.a.bb
sage: E.q_eigenform(10)