Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("gt1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 92400.gt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.gt1 92400gw1 \([0, 1, 0, -123333, 14382963]\) \(5186867200/754677\) \(30187080000000000\) \([]\) \(806400\) \(1.8873\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.gt1 has rank \(0\).

Complex multiplication

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

Modular form 92400.2.a.gt

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