Properties

Label 6630i
Number of curves $1$
Conductor $6630$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 6630i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6630.l1 6630i1 \([1, 0, 1, 104881, 10086626]\) \(127591024063258622231/117712954934172000\) \(-117712954934172000\) \([]\) \(124800\) \(1.9629\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6630i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6630i do not have complex multiplication.

Modular form 6630.2.a.i

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