Properties

Label 155298l
Number of curves $1$
Conductor $155298$
CM no
Rank $2$

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

Elliptic curves in class 155298l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155298.t1 155298l1 \([1, 1, 1, -57246, 423387]\) \(20747206280950396129/11920075034689536\) \(11920075034689536\) \([]\) \(1353600\) \(1.7744\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155298l1 has rank \(2\).

Complex multiplication

The elliptic curves in class 155298l do not have complex multiplication.

Modular form 155298.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 3 q^{7} + q^{8} + q^{9} - q^{10} + q^{11} - q^{12} - q^{13} - 3 q^{14} + q^{15} + q^{16} - 7 q^{17} + q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display