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SageMath
sage: E = EllipticCurve("z1")
sage: E.isogeny_class()
Elliptic curves in class 62400.z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 62400.z1 | 62400bx1 | \([0, -1, 0, -6061333, -5839286963]\) | \(-769623354048512/15247889631\) | \(-487932468192000000000\) | \([]\) | \(2688000\) | \(2.7626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.z do not have complex multiplication.Modular form 62400.2.a.z
sage: E.q_eigenform(10)