Properties

Label 74529.n
Number of curves $1$
Conductor $74529$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 74529.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74529.n1 74529p1 \([1, -1, 1, 1489027, 2804442554]\) \(17999471/177957\) \(-3609832395409125125877\) \([]\) \(5419008\) \(2.8176\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74529.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 74529.n do not have complex multiplication.

Modular form 74529.2.a.n

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