Properties

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

Related objects

Downloads

Learn more

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

Elliptic curves in class 88445.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.c1 88445z1 \([0, -1, 1, -5896, 31352]\) \(533794816/300125\) \(12746695611125\) \([]\) \(331776\) \(1.2048\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445.c1 has rank \(1\).

Complex multiplication

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

Modular form 88445.2.a.c

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