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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 108900x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 108900.t1 | 108900x1 | \([0, 0, 0, -2178000, 1301052500]\) | \(-238878720/14641\) | \(-70031046422700000000\) | \([]\) | \(3456000\) | \(2.5626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 108900x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 108900x do not have complex multiplication.Modular form 108900.2.a.x
sage: E.q_eigenform(10)