Properties

Label 121242br
Number of curves $1$
Conductor $121242$
CM no
Rank $1$

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

Elliptic curves in class 121242br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121242.be1 121242br1 \([1, 0, 0, -10227, 202401]\) \(66775173193/28569024\) \(50611768726464\) \([]\) \(460800\) \(1.3261\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121242br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121242br do not have complex multiplication.

Modular form 121242.2.a.br

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 3 q^{5} + q^{6} + 3 q^{7} + q^{8} + q^{9} - 3 q^{10} + q^{12} + q^{13} + 3 q^{14} - 3 q^{15} + q^{16} + 4 q^{17} + q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display