Properties

Label 190575bm
Number of curves $1$
Conductor $190575$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 190575bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190575.bc1 190575bm1 \([1, -1, 1, -68630, 6932742]\) \(9150625/7\) \(27346834243575\) \([]\) \(617760\) \(1.5105\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190575bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 190575bm do not have complex multiplication.

Modular form 190575.2.a.bm

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - q^{7} + 3 q^{8} + 2 q^{13} + q^{14} - q^{16} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display