Properties

Label 302640cc
Number of curves $1$
Conductor $302640$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cc1")
 
E.isogeny_class()
 

Elliptic curves in class 302640cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302640.cc1 302640cc1 \([0, 1, 0, -517496, 143925204]\) \(-3741843290232306169/24550156800000\) \(-100557442252800000\) \([]\) \(4700160\) \(2.0985\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302640cc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 302640cc do not have complex multiplication.

Modular form 302640.2.a.cc

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