Properties

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

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Show commands: SageMath
E = EllipticCurve("dr1")
 
E.isogeny_class()
 

Elliptic curves in class 323400.dr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.dr1 323400dr1 \([0, -1, 0, -35143208, 80336558037]\) \(-26644869133568/52612659\) \(-9478172162995593750000\) \([]\) \(29352960\) \(3.1050\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400.dr1 has rank \(1\).

Complex multiplication

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

Modular form 323400.2.a.dr

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