Properties

Label 61347e
Number of curves 1
Conductor 61347
CM no
Rank 2

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("61347.m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 61347e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
61347.m1 61347e1 [0, -1, 1, -149959, 41449176] [] 709632 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61347e1 has rank \(2\).

Modular form 61347.2.a.m

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