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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 331200z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 331200.z1 | 331200z1 | \([0, 0, 0, 4500, -857520]\) | \(2109375/67712\) | \(-323499117772800\) | \([]\) | \(1354752\) | \(1.4642\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331200z do not have complex multiplication.Modular form 331200.2.a.z
sage: E.q_eigenform(10)