Properties

Label 92400ea
Number of curves $1$
Conductor $92400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ea1")
 
E.isogeny_class()
 

Elliptic curves in class 92400ea

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.cb1 92400ea1 \([0, -1, 0, -52533, -14962563]\) \(-250523582464/1369738755\) \(-87663280320000000\) \([]\) \(691200\) \(1.9351\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400ea1 has rank \(1\).

Complex multiplication

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

Modular form 92400.2.a.ea

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