Properties

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

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Show commands: SageMath
E = EllipticCurve("fi1")
 
E.isogeny_class()
 

Elliptic curves in class 323400.fi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.fi1 323400fi1 \([0, 1, 0, -431608, 109933088]\) \(-2410065700/24057\) \(-88757643300480000\) \([]\) \(3556224\) \(2.0711\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400.fi1 has rank \(1\).

Complex multiplication

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

Modular form 323400.2.a.fi

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} - q^{11} - 4 q^{13} - 7 q^{17} + O(q^{20})\) Copy content Toggle raw display