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SageMath
E = EllipticCurve("fx1")
E.isogeny_class()
Elliptic curves in class 397488fx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 397488.fx1 | 397488fx1 | \([0, 1, 0, 394728, 96644484]\) | \(69212/81\) | \(-7960127683777790976\) | \([]\) | \(7667712\) | \(2.3130\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397488fx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 397488fx do not have complex multiplication.Modular form 397488.2.a.fx
sage: E.q_eigenform(10)