Properties

Label 11200.u
Number of curves $1$
Conductor $11200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 11200.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11200.u1 11200bz1 \([0, -1, 0, -673, 6977]\) \(-10303010/49\) \(-160563200\) \([]\) \(4608\) \(0.42405\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11200.u1 has rank \(2\).

Complex multiplication

The elliptic curves in class 11200.u do not have complex multiplication.

Modular form 11200.2.a.u

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