Properties

Label 72450.t
Number of curves $1$
Conductor $72450$
CM no
Rank $0$

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

Elliptic curves in class 72450.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
72450.t1 72450v1 [1, -1, 0, -22617, -1485459] [] 288000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72450.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 72450.t do not have complex multiplication.

Modular form 72450.2.a.t

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{4} - q^{7} - q^{8} + q^{11} + 2q^{13} + q^{14} + q^{16} - 6q^{17} + 5q^{19} + O(q^{20}) \)