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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 337590bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
337590.bz1 | 337590bz1 | \([1, -1, 0, -11326415139, 480797069121045]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-6867929424095892595427770368000\) | \([]\) | \(867081600\) | \(4.6831\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 337590bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 337590bz do not have complex multiplication.Modular form 337590.2.a.bz
sage: E.q_eigenform(10)