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SageMath
sage: E = EllipticCurve("x1")
sage: E.isogeny_class()
Elliptic curves in class 62400.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 62400.x1 | 62400ei1 | \([0, -1, 0, -10533, -634563]\) | \(-504871936/394875\) | \(-101088000000000\) | \([]\) | \(184320\) | \(1.3859\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400.x do not have complex multiplication.Modular form 62400.2.a.x
sage: E.q_eigenform(10)