Properties

Label 337590cr
Number of curves $1$
Conductor $337590$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cr1")
 
E.isogeny_class()
 

Elliptic curves in class 337590cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
337590.cr1 337590cr1 \([1, -1, 0, -221634, -45306860]\) \(-932288503609/148800000\) \(-192170433787200000\) \([]\) \(3888000\) \(2.0445\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 337590cr1 has rank \(1\).

Complex multiplication

The elliptic curves in class 337590cr do not have complex multiplication.

Modular form 337590.2.a.cr

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