Properties

Label 323400.it
Number of curves $1$
Conductor $323400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("it1")
 
E.isogeny_class()
 

Elliptic curves in class 323400.it

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.it1 323400it1 \([0, 1, 0, -4166808, -3275198487]\) \(-93303976999933696/2910897\) \(-249609417750000\) \([]\) \(5806080\) \(2.2665\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400.it1 has rank \(0\).

Complex multiplication

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

Modular form 323400.2.a.it

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} + q^{11} + q^{13} - 8 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display