Properties

Label 346560.h
Number of curves $1$
Conductor $346560$
CM no
Rank $1$

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

Elliptic curves in class 346560.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
346560.h1 346560h1 \([0, -1, 0, 5039079, -9845181999]\) \(2253933824/7971615\) \(-50047487740600646261760\) \([]\) \(25608960\) \(3.0386\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 346560.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 346560.h do not have complex multiplication.

Modular form 346560.2.a.h

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