Properties

Label 174.d
Number of curves $1$
Conductor $174$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 174.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
174.d1 174c1 \([1, 1, 1, -5, -7]\) \(-13997521/1566\) \(-1566\) \([]\) \(12\) \(-0.64975\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 174.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 174.d do not have complex multiplication.

Modular form 174.2.a.d

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