Properties

Label 297920hr
Number of curves $1$
Conductor $297920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hr1")
 
E.isogeny_class()
 

Elliptic curves in class 297920hr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
297920.hr1 297920hr1 \([0, 0, 0, -149548, 23768528]\) \(-11993263569/972800\) \(-30002104814796800\) \([]\) \(3953664\) \(1.9079\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 297920hr1 has rank \(1\).

Complex multiplication

The elliptic curves in class 297920hr do not have complex multiplication.

Modular form 297920.2.a.hr

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