Properties

Label 126852.d
Number of curves $1$
Conductor $126852$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 126852.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126852.d1 126852b1 \([0, -1, 0, -165, 2178]\) \(-32505856/107811\) \(-1657701936\) \([]\) \(60480\) \(0.45532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126852.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 126852.d do not have complex multiplication.

Modular form 126852.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{7} + q^{9} - q^{11} + 4 q^{13} - q^{15} - 6 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display