Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ex1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 92400.ex

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.ex1 92400gd1 \([0, 1, 0, 2134792, -1069466412]\) \(26898633480575/27935373312\) \(-1117414932480000000000\) \([]\) \(4181760\) \(2.7255\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.ex1 has rank \(1\).

Complex multiplication

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

Modular form 92400.2.a.ex

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} + q^{9} - q^{11} + 2q^{13} - 6q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display