Properties

Label 90480ba
Number of curves $1$
Conductor $90480$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 90480ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
90480.n1 90480ba1 \([0, -1, 0, 395, 36217]\) \(26556760064/2244927555\) \(-574701454080\) \([]\) \(103680\) \(0.93592\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 90480ba1 has rank \(1\).

Complex multiplication

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

Modular form 90480.2.a.ba

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