Properties

Label 650d
Number of curves $1$
Conductor $650$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 650d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
650.e1 650d1 \([1, 0, 1, 299, 22048]\) \(304175/21632\) \(-211250000000\) \([]\) \(840\) \(0.85258\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 650d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 650d do not have complex multiplication.

Modular form 650.2.a.d

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