Properties

Label 212160.t
Number of curves $1$
Conductor $212160$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 212160.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212160.t1 212160dn1 \([0, -1, 0, 18559, -224799]\) \(21573176244472/13114541115\) \(-429737283256320\) \([]\) \(737280\) \(1.4971\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212160.t1 has rank \(2\).

Complex multiplication

The elliptic curves in class 212160.t do not have complex multiplication.

Modular form 212160.2.a.t

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