Properties

Label 92400.gz
Number of curves $1$
Conductor $92400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gz1")
 
E.isogeny_class()
 

Elliptic curves in class 92400.gz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.gz1 92400da1 \([0, 1, 0, -1246833, 535455963]\) \(2143625552081920/693\) \(69300000000\) \([]\) \(698880\) \(1.8784\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.gz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 92400.gz do not have complex multiplication.

Modular form 92400.2.a.gz

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} + q^{9} - q^{11} + q^{13} + 7 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display