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SageMath
E = EllipticCurve("fx1")
E.isogeny_class()
Elliptic curves in class 450800.fx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 450800.fx1 | 450800fx1 | \([0, -1, 0, -359333, 83329037]\) | \(-5451776/23\) | \(-21647416000000000\) | \([]\) | \(4233600\) | \(1.9891\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.fx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800.fx do not have complex multiplication.Modular form 450800.2.a.fx
sage: E.q_eigenform(10)