Properties

Label 303600.c
Number of curves $1$
Conductor $303600$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 303600.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.c1 303600c1 \([0, -1, 0, 393867, 161192637]\) \(105582373535744/236772421875\) \(-15153435000000000000\) \([]\) \(8515584\) \(2.3645\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 303600.c do not have complex multiplication.

Modular form 303600.2.a.c

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