Properties

Label 110400.q
Number of curves $1$
Conductor $110400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 110400.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.q1 110400hj1 \([0, -1, 0, -112833, -14306463]\) \(1551443665/29808\) \(3052339200000000\) \([]\) \(737280\) \(1.7642\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400.q1 has rank \(0\).

Complex multiplication

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

Modular form 110400.2.a.q

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