Properties

Label 110400br
Number of curves $1$
Conductor $110400$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("br1")
 
E.isogeny_class()
 

Elliptic curves in class 110400br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.c1 110400br1 \([0, -1, 0, -688, 4162]\) \(22542399040/8869743\) \(14191588800\) \([]\) \(96768\) \(0.64652\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400br1 has rank \(2\).

Complex multiplication

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

Modular form 110400.2.a.br

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} - q^{11} - 3 q^{13} + 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display