Properties

Label 162240.ij
Number of curves $1$
Conductor $162240$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ij1")
 
E.isogeny_class()
 

Elliptic curves in class 162240.ij

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162240.ij1 162240fr1 \([0, 1, 0, -233445, -43491837]\) \(-17790954496/195\) \(-15421075537920\) \([]\) \(1290240\) \(1.6848\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162240.ij1 has rank \(1\).

Complex multiplication

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

Modular form 162240.2.a.ij

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