Properties

Label 74060m
Number of curves $1$
Conductor $74060$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 74060m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
74060.n1 74060m1 [0, 0, 0, 16928, -2579404] [] 712800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74060m1 has rank \(1\).

Complex multiplication

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

Modular form 74060.2.a.m

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