Properties

Label 74060.n
Number of curves $1$
Conductor $74060$
CM no
Rank $1$

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

Elliptic curves in class 74060.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74060.n1 74060m1 \([0, 0, 0, 16928, -2579404]\) \(14155776/84035\) \(-3184690158621440\) \([]\) \(712800\) \(1.6567\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74060.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 74060.n do not have complex multiplication.

Modular form 74060.2.a.n

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