Properties

Label 90480c
Number of curves $1$
Conductor $90480$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 90480c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
90480.g1 90480c1 \([0, -1, 0, -90201, 10479285]\) \(-317046248340941824/775798846875\) \(-198604504800000\) \([]\) \(353280\) \(1.6220\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 90480c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 90480c do not have complex multiplication.

Modular form 90480.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{7} + q^{9} - 3 q^{11} + q^{13} + q^{15} + 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display