Properties

Label 38025bf
Number of curves $1$
Conductor $38025$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 38025bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38025.cr1 38025bf1 \([1, -1, 0, -69237, 7311006]\) \(-417267265/19773\) \(-1739403009656325\) \([]\) \(193536\) \(1.6871\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38025bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 38025bf do not have complex multiplication.

Modular form 38025.2.a.bf

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} + 3 q^{7} - 3 q^{8} - q^{11} + 3 q^{14} - q^{16} + 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display