Properties

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

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Show commands: SageMath
E = EllipticCurve("di1")
 
E.isogeny_class()
 

Elliptic curves in class 323400.di

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.di1 323400di1 \([0, -1, 0, -1553953, -745306043]\) \(-551149496796160/192913083\) \(-145254600331948800\) \([]\) \(4717440\) \(2.2634\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400.di1 has rank \(1\).

Complex multiplication

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

Modular form 323400.2.a.di

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + q^{11} - q^{13} - 2 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display