Properties

Label 344760.o
Number of curves $1$
Conductor $344760$
CM no
Rank $1$

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

Elliptic curves in class 344760.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344760.o1 344760o1 \([0, -1, 0, 218799, -21189195]\) \(937470577664/698407515\) \(-862996397841826560\) \([]\) \(4741632\) \(2.1298\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344760.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 344760.o do not have complex multiplication.

Modular form 344760.2.a.o

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