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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 44352z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 44352.k1 | 44352z1 | \([0, 0, 0, 905676, 165743944]\) | \(110056273881297152/79587574568271\) | \(-59411806064916028416\) | \([]\) | \(1075200\) | \(2.4826\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44352z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44352z do not have complex multiplication.Modular form 44352.2.a.z
sage: E.q_eigenform(10)