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SageMath
E = EllipticCurve("fx1")
E.isogeny_class()
Elliptic curves in class 346800fx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 346800.fx1 | 346800fx1 | \([0, -1, 0, -1685833, -1007057963]\) | \(-8780800/2187\) | \(-131972158507500000000\) | \([]\) | \(17203200\) | \(2.5787\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346800fx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 346800fx do not have complex multiplication.Modular form 346800.2.a.fx
sage: E.q_eigenform(10)