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SageMath
E = EllipticCurve("fj1")
E.isogeny_class()
Elliptic curves in class 62400.fj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 62400.fj1 | 62400dg1 | \([0, 1, 0, -14384833, -22309597537]\) | \(-3214683778008145/238496514048\) | \(-24422043038515200000000\) | \([]\) | \(3709440\) | \(3.0447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.fj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.fj do not have complex multiplication.Modular form 62400.2.a.fj
sage: E.q_eigenform(10)