Properties

Label 350658ci
Number of curves $1$
Conductor $350658$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 350658ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350658.ci1 350658ci1 \([1, -1, 1, -1378697, -2919943155]\) \(-224412099736609/2722801160772\) \(-3516410485093057312068\) \([]\) \(32901120\) \(2.8161\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350658ci1 has rank \(0\).

Complex multiplication

The elliptic curves in class 350658ci do not have complex multiplication.

Modular form 350658.2.a.ci

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 4 q^{5} - q^{7} + q^{8} - 4 q^{10} + q^{13} - q^{14} + q^{16} + 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display