Show commands:
SageMath
E = EllipticCurve("ci1")
E.isogeny_class()
Elliptic curves in class 119952.ci
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.ci1 | 119952co1 | \([0, 0, 0, 122157, -2305646]\) | \(15494117157/9143008\) | \(-118960026424049664\) | \([]\) | \(921600\) | \(1.9658\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.ci1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119952.ci do not have complex multiplication.Modular form 119952.2.a.ci
sage: E.q_eigenform(10)