Properties

Label 323400.ha
Number of curves $1$
Conductor $323400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ha1")
 
E.isogeny_class()
 

Elliptic curves in class 323400.ha

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
323400.ha1 323400ha1 \([0, 1, 0, -2033908, -1157034187]\) \(-31636584484096/1331669031\) \(-39167382457029750000\) \([]\) \(9676800\) \(2.5261\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 323400.ha1 has rank \(0\).

Complex multiplication

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

Modular form 323400.2.a.ha

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} - q^{11} + 3 q^{13} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display