Properties

Label 166635ba
Number of curves $1$
Conductor $166635$
CM no
Rank $1$

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

Elliptic curves in class 166635ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
166635.s1 166635ba1 \([0, 0, 1, -292008, -68770926]\) \(-48234496/7875\) \(-449573577625060875\) \([]\) \(1695744\) \(2.1148\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 166635ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 166635ba do not have complex multiplication.

Modular form 166635.2.a.ba

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{5} - q^{7} - 4 q^{11} + 3 q^{13} + 4 q^{16} + q^{17} + O(q^{20})\) Copy content Toggle raw display