Properties

Label 88445c
Number of curves $1$
Conductor $88445$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 88445c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.t1 88445c1 \([0, 0, 1, -35378, -3108842]\) \(-43352064/11875\) \(-1341366278336875\) \([]\) \(241920\) \(1.6187\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445c1 has rank \(2\).

Complex multiplication

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

Modular form 88445.2.a.c

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