Properties

Label 46090l
Number of curves $1$
Conductor $46090$
CM no
Rank $1$

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

Elliptic curves in class 46090l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46090.k1 46090l1 \([1, 1, 1, -604100, -179539515]\) \(24380929813290549710401/223075600000000000\) \(223075600000000000\) \([]\) \(624624\) \(2.1509\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46090l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 46090l do not have complex multiplication.

Modular form 46090.2.a.l

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