Properties

Label 323400q
Number of curves $1$
Conductor $323400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 323400q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.q1 323400q1 \([0, -1, 0, -289508, 60196137]\) \(-91238612224/251559\) \(-7398916197750000\) \([]\) \(1935360\) \(1.9182\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400q1 has rank \(1\).

Complex multiplication

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

Modular form 323400.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - q^{11} - 3 q^{13} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display