Properties

Label 1850.c
Number of curves $1$
Conductor $1850$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1850.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1850.c1 1850c1 \([1, 1, 0, -75, -1625]\) \(-121945/2738\) \(-1069531250\) \([]\) \(960\) \(0.41332\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1850.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1850.c do not have complex multiplication.

Modular form 1850.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + 4 q^{7} - q^{8} - 2 q^{9} + 3 q^{11} - q^{12} + 6 q^{13} - 4 q^{14} + q^{16} + 3 q^{17} + 2 q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display