Properties

Label 162240hj
Number of curves $1$
Conductor $162240$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hj1")
 
E.isogeny_class()
 

Elliptic curves in class 162240hj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162240.dv1 162240hj1 \([0, -1, 0, -71205, 11238525]\) \(-504871936/394875\) \(-31227677964288000\) \([]\) \(1290240\) \(1.8636\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162240hj1 has rank \(0\).

Complex multiplication

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

Modular form 162240.2.a.hj

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 3 q^{7} + q^{9} - 3 q^{11} - q^{15} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display