Properties

Label 88445.o
Number of curves $1$
Conductor $88445$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 88445.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.o1 88445bl1 \([1, -1, 1, -22203012, 40320853024]\) \(-92959677/125\) \(-1627701567488567356625\) \([]\) \(13278720\) \(2.9758\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88445.o do not have complex multiplication.

Modular form 88445.2.a.o

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