Properties

Label 102550.c
Number of curves $1$
Conductor $102550$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 102550.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102550.c1 102550l1 \([1, -1, 0, -4503367, 3628205041]\) \(5171371652962916757/82860802004204\) \(161837503914460937500\) \([]\) \(7284480\) \(2.6777\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 102550.c do not have complex multiplication.

Modular form 102550.2.a.c

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