Properties

Label 105264.t
Number of curves $1$
Conductor $105264$
CM no
Rank $1$

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

Elliptic curves in class 105264.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
105264.t1 105264bx1 \([0, 0, 0, -898083, -741495006]\) \(-26827837227982881/64019602866176\) \(-191161509844755677184\) \([]\) \(2419200\) \(2.5798\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 105264.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 105264.t do not have complex multiplication.

Modular form 105264.2.a.t

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