Properties

Label 259920.h
Number of curves $1$
Conductor $259920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 259920.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259920.h1 259920h1 \([0, 0, 0, -228, 988]\) \(19456/5\) \(336856320\) \([]\) \(96768\) \(0.34561\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259920.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 259920.h do not have complex multiplication.

Modular form 259920.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{5} - 4 q^{7} + q^{11} + 4 q^{13} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display