Properties

Label 61347b
Number of curves 1
Conductor 61347
CM no
Rank 0

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("61347.r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 61347b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
61347.r1 61347b1 [0, -1, 1, -33318237, -74018632777] [] 3669120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61347b1 has rank \(0\).

Modular form 61347.2.a.r

sage: E.q_eigenform(10)
 
\( q - q^{3} - 2q^{4} + 2q^{5} + 3q^{7} + q^{9} + 2q^{12} - 2q^{15} + 4q^{16} - 2q^{17} - 4q^{19} + O(q^{20}) \)