Properties

Label 162240dh
Number of curves $1$
Conductor $162240$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dh1")
 
E.isogeny_class()
 

Elliptic curves in class 162240dh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162240.a1 162240dh1 \([0, -1, 0, -1941, -44019]\) \(-22478848/10935\) \(-393612410880\) \([]\) \(322560\) \(0.93036\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162240dh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 162240dh do not have complex multiplication.

Modular form 162240.2.a.dh

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 5 q^{7} + q^{9} - 3 q^{11} + q^{15} + 7 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display