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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 53900z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 53900.t1 | 53900z1 | \([0, 0, 0, -6125, -196875]\) | \(-16595712/1331\) | \(-2038093750000\) | \([]\) | \(69120\) | \(1.1085\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53900z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53900z do not have complex multiplication.Modular form 53900.2.a.z
sage: E.q_eigenform(10)