Properties

Label 102550.bd
Number of curves $1$
Conductor $102550$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 102550.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102550.bd1 102550bb1 \([1, -1, 1, -180135, 29061667]\) \(5171371652962916757/82860802004204\) \(10357600250525500\) \([]\) \(1456896\) \(1.8730\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.bd1 has rank \(0\).

Complex multiplication

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

Modular form 102550.2.a.bd

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