Properties

Label 374790.k
Number of curves $1$
Conductor $374790$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 374790.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
374790.k1 374790k1 \([1, 1, 0, -154820483, 743188721223]\) \(-462422340525417209209/1292244765581250\) \(-1146871986206341479581250\) \([]\) \(92160000\) \(3.4891\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 374790.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 374790.k do not have complex multiplication.

Modular form 374790.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} + 3 q^{11} - q^{12} + q^{13} - q^{14} + q^{15} + q^{16} + 8 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display