Properties

Label 323400.o
Number of curves $1$
Conductor $323400$
CM no
Rank $1$

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

Elliptic curves in class 323400.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.o1 323400o1 \([0, -1, 0, 817, 444312]\) \(2508800/3557763\) \(-85421889630000\) \([]\) \(933120\) \(1.3522\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 323400.o do not have complex multiplication.

Modular form 323400.2.a.o

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