Properties

Label 21294ct
Number of curves $1$
Conductor $21294$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ct1")
 
E.isogeny_class()
 

Elliptic curves in class 21294ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21294.bp1 21294ct1 \([1, -1, 1, -1102757, -311936205]\) \(249395415529/73513818\) \(43716292745479425162\) \([]\) \(1048320\) \(2.4745\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21294ct1 has rank \(0\).

Complex multiplication

The elliptic curves in class 21294ct do not have complex multiplication.

Modular form 21294.2.a.ct

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