Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 1850d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1850.g1 1850d1 \([1, -1, 0, -77617, 8944541]\) \(-132384574175625/11484004352\) \(-4485939200000000\) \([]\) \(22080\) \(1.7476\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1850d1 has rank \(0\).

Complex multiplication

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

Modular form 1850.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} + q^{4} - 3 q^{6} - q^{8} + 6 q^{9} - q^{11} + 3 q^{12} + 2 q^{13} + q^{16} + 7 q^{17} - 6 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display