Properties

Label 2646.ba
Number of curves $1$
Conductor $2646$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("ba1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2646.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2646.ba1 2646z1 \([1, -1, 1, -1994, -43095]\) \(-89373/32\) \(-313789648032\) \([]\) \(3360\) \(0.91676\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2646.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2646.ba do not have complex multiplication.

Modular form 2646.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 2q^{5} + q^{8} + 2q^{10} - 2q^{11} + q^{13} + q^{16} - 3q^{17} + 4q^{19} + O(q^{20})\)  Toggle raw display