Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 110400.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.s1 110400gq1 \([0, -1, 0, -84533, -13228563]\) \(-260956266496/145546875\) \(-37260000000000000\) \([]\) \(1032192\) \(1.8831\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400.s1 has rank \(1\).

Complex multiplication

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

Modular form 110400.2.a.s

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} - 2 q^{11} - 2 q^{13} + 7 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display