Properties

Label 323400u
Number of curves $1$
Conductor $323400$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 323400u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.u1 323400u1 \([0, -1, 0, -15353, 64317]\) \(531573760/305613\) \(230112408556800\) \([]\) \(1105920\) \(1.4454\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400u1 has rank \(2\).

Complex multiplication

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

Modular form 323400.2.a.u

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