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SageMath
E = EllipticCurve("uo1")
E.isogeny_class()
Elliptic curves in class 435600uo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 435600.uo1 | 435600uo1 | \([0, 0, 0, 2096325, 1087094250]\) | \(9261/10\) | \(-1100124074712960000000\) | \([]\) | \(21288960\) | \(2.7241\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435600uo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 435600uo do not have complex multiplication.Modular form 435600.2.a.uo
sage: E.q_eigenform(10)