Show commands:
SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 25920.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25920.ci1 | 25920co1 | \([0, 0, 0, -12, 14]\) | \(36864/5\) | \(25920\) | \([]\) | \(1920\) | \(-0.42592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25920.ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25920.ci do not have complex multiplication.Modular form 25920.2.a.ci
sage: E.q_eigenform(10)