Properties

Label 92736.m
Number of curves $1$
Conductor $92736$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 92736.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92736.m1 92736j1 \([0, 0, 0, 35316, -16203024]\) \(1888152282/45054401\) \(-116235406525464576\) \([]\) \(706560\) \(1.9547\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92736.m1 has rank \(2\).

Complex multiplication

The elliptic curves in class 92736.m do not have complex multiplication.

Modular form 92736.2.a.m

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