Properties

Label 36225.bi
Number of curves $1$
Conductor $36225$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 36225.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36225.bi1 36225ci1 \([0, 0, 1, -3090, -66119]\) \(-35806478336/3703\) \(-337435875\) \([]\) \(16320\) \(0.66892\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36225.bi1 has rank \(1\).

Complex multiplication

The elliptic curves in class 36225.bi do not have complex multiplication.

Modular form 36225.2.a.bi

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + q^{7} + q^{11} - q^{13} + 4 q^{16} + q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display