Properties

Label 44352.t
Number of curves $1$
Conductor $44352$
CM no
Rank $1$

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

Elliptic curves in class 44352.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44352.t1 44352fa1 \([0, 0, 0, -804, 10456]\) \(-76995328/18711\) \(-13967686656\) \([]\) \(30720\) \(0.66513\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44352.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44352.t do not have complex multiplication.

Modular form 44352.2.a.t

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