Properties

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

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Show commands: SageMath
E = EllipticCurve("eo1")
 
E.isogeny_class()
 

Elliptic curves in class 92400.eo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.eo1 92400fw1 \([0, 1, 0, -42658, 3377063]\) \(-34339609640704/916839\) \(-229209750000\) \([]\) \(201600\) \(1.2848\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.eo1 has rank \(1\).

Complex multiplication

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

Modular form 92400.2.a.eo

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