Properties

Label 147175f
Number of curves $1$
Conductor $147175$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 147175f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
147175.f1 147175f1 \([1, 1, 1, -438, -5529344]\) \(-1/1421\) \(-13206936549078125\) \([]\) \(940800\) \(1.7722\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 147175f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 147175f do not have complex multiplication.

Modular form 147175.2.a.f

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