Properties

Label 338130.ci
Number of curves $1$
Conductor $338130$
CM no
Rank $2$

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

Elliptic curves in class 338130.ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.ci1 338130ci1 \([1, -1, 1, 94882, -29436163]\) \(18576359/84240\) \(-428387961178953360\) \([]\) \(5640192\) \(2.0657\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.ci1 has rank \(2\).

Complex multiplication

The elliptic curves in class 338130.ci do not have complex multiplication.

Modular form 338130.2.a.ci

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} - 4 q^{7} + q^{8} - q^{10} - 5 q^{11} - q^{13} - 4 q^{14} + q^{16} + q^{19} + O(q^{20})\) Copy content Toggle raw display