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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 227850cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.jj1 | 227850cd1 | \([1, 0, 0, -12740916938, -573617471948508]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-9775758190129395351552000000000\) | \([]\) | \(826277760\) | \(4.7125\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850cd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227850cd do not have complex multiplication.Modular form 227850.2.a.cd
sage: E.q_eigenform(10)