Properties

Label 92400.cy
Number of curves $1$
Conductor $92400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("cy1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 92400.cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92400.cy1 92400bd1 \([0, -1, 0, -2071433, 1144792197]\) \(153587764760452480000/526418089637517\) \(3369075773680108800\) \([]\) \(2350080\) \(2.4185\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92400.cy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92400.cy do not have complex multiplication.

Modular form 92400.2.a.cy

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