Properties

Label 361920o
Number of curves $1$
Conductor $361920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 361920o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
361920.o1 361920o1 \([0, -1, 0, 55999, -8055999]\) \(74082708125999/149327343750\) \(-39145267200000000\) \([]\) \(2875392\) \(1.8683\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 361920o1 has rank \(1\).

Complex multiplication

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

Modular form 361920.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} + q^{11} + q^{13} + q^{15} - 5 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display