Properties

Label 281775.l
Number of curves $1$
Conductor $281775$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 281775.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
281775.l1 281775l1 \([1, 1, 1, 572, 65606]\) \(1982251/177957\) \(-1857893324625\) \([]\) \(435456\) \(1.0337\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 281775.l1 has rank \(2\).

Complex multiplication

The elliptic curves in class 281775.l do not have complex multiplication.

Modular form 281775.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{6} - 2 q^{7} + 3 q^{8} + q^{9} - 3 q^{11} + q^{12} + q^{13} + 2 q^{14} - q^{16} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display