Properties

Label 162450.h
Number of curves $1$
Conductor $162450$
CM no
Rank $1$

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

Elliptic curves in class 162450.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162450.h1 162450ep1 \([1, -1, 0, -868092, 3532628816]\) \(-13851/1024\) \(-5348599541376048000000\) \([]\) \(10506240\) \(2.8490\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162450.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 162450.h do not have complex multiplication.

Modular form 162450.2.a.h

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