Properties

Label 60840.r
Number of curves 11
Conductor 6084060840
CM no
Rank 00

Related objects

Downloads

Learn more

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

Elliptic curves in class 60840.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60840.r1 60840j1 [0,0,0,14782092,14395262492][0, 0, 0, 14782092, -14395262492] 396555344454656/328867205355396555344454656/328867205355 296243053322345482279680-296243053322345482279680 [][] 70963207096320 3.19153.1915 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60840.r1 has rank 00.

Complex multiplication

The elliptic curves in class 60840.r do not have complex multiplication.

Modular form 60840.2.a.r

sage: E.q_eigenform(10)
 
qq5+q75q113q17+6q19+O(q20)q - q^{5} + q^{7} - 5 q^{11} - 3 q^{17} + 6 q^{19} + O(q^{20}) Copy content Toggle raw display