Properties

Label 167475l
Number of curves $1$
Conductor $167475$
CM no
Rank $1$

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

Elliptic curves in class 167475l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
167475.l1 167475l1 \([1, 0, 0, -59413, -5585308]\) \(-1484391946907017/1946200179\) \(-30409377796875\) \([]\) \(648000\) \(1.4940\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 167475l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 167475l do not have complex multiplication.

Modular form 167475.2.a.l

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