Properties

Label 234446.c
Number of curves $1$
Conductor $234446$
CM no
Rank $3$

Related objects

Downloads

Learn more

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

Elliptic curves in class 234446.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234446.c1 234446c1 \([1, 1, 1, -949, -7845]\) \(94525928327377/30729306112\) \(30729306112\) \([]\) \(229824\) \(0.71565\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234446.c1 has rank \(3\).

Complex multiplication

The elliptic curves in class 234446.c do not have complex multiplication.

Modular form 234446.2.a.c

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - 2 q^{5} - q^{6} - 3 q^{7} + q^{8} - 2 q^{9} - 2 q^{10} - 6 q^{11} - q^{12} - 2 q^{13} - 3 q^{14} + 2 q^{15} + q^{16} - 6 q^{17} - 2 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display