Properties

Label 110400gs
Number of curves $1$
Conductor $110400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gs1")
 
E.isogeny_class()
 

Elliptic curves in class 110400gs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.n1 110400gs1 \([0, -1, 0, 761467, -1124998563]\) \(190737654201344/2245153696875\) \(-574759346400000000000\) \([]\) \(3686400\) \(2.6643\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400gs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 110400gs do not have complex multiplication.

Modular form 110400.2.a.gs

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