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SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 108900ci
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 108900.w1 | 108900ci1 | \([0, 0, 0, -7431072825, -248404892198375]\) | \(-1161633816071508736/10089075234375\) | \(-394148954436301027089843750000\) | \([]\) | \(180956160\) | \(4.5035\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 108900ci1 has rank \(0\).
Complex multiplication
The elliptic curves in class 108900ci do not have complex multiplication.Modular form 108900.2.a.ci
sage: E.q_eigenform(10)