Properties

Label 50430o
Number of curves $1$
Conductor $50430$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 50430o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
50430.n1 50430o1 \([1, 0, 1, -20179313, 34892243588]\) \(-540598825531316542089721/60750000000000000\) \(-102120750000000000000\) \([]\) \(5569200\) \(2.8676\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 50430o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 50430o do not have complex multiplication.

Modular form 50430.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} - 4 q^{7} - q^{8} + q^{9} - q^{10} + 4 q^{11} + q^{12} - q^{13} + 4 q^{14} + q^{15} + q^{16} + 7 q^{17} - q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display