Properties

Label 361920j
Number of curves $1$
Conductor $361920$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 361920j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
361920.j1 361920j1 \([0, -1, 0, -445716661, -3651170017235]\) \(-597696040869577536732798976/5641791489003680404875\) \(-92435111755836299753472000\) \([]\) \(182476800\) \(3.8037\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 361920j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 361920j do not have complex multiplication.

Modular form 361920.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} + 3 q^{11} + q^{13} + q^{15} + 7 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display