Properties

Label 273600.c
Number of curves $1$
Conductor $273600$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 273600.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
273600.c1 273600c1 \([0, 0, 0, -52500, -4525000]\) \(2195200/57\) \(415530000000000\) \([]\) \(1658880\) \(1.5869\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 273600.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 273600.c do not have complex multiplication.

Modular form 273600.2.a.c

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