Properties

Label 11466cj
Number of curves $1$
Conductor $11466$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 11466cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11466.cc1 11466cj1 \([1, -1, 1, -3317, -83667]\) \(-47045881/8736\) \(-749252833056\) \([]\) \(15360\) \(1.0030\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11466cj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11466cj do not have complex multiplication.

Modular form 11466.2.a.cj

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} + q^{8} + q^{10} - 3 q^{11} + q^{13} + q^{16} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display