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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 117600.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 117600.x1 | 117600ez1 | \([0, -1, 0, -91408, 10667812]\) | \(-215474070728/3645\) | \(-1428840000000\) | \([]\) | \(304128\) | \(1.4624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117600.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 117600.x do not have complex multiplication.Modular form 117600.2.a.x
sage: E.q_eigenform(10)