Properties

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

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Show commands: SageMath
E = EllipticCurve("dx1")
 
E.isogeny_class()
 

Elliptic curves in class 72450dx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
72450.dr1 72450dx1 \([1, -1, 1, -216680, -93424053]\) \(-158034076225/438790688\) \(-3123812612812500000\) \([]\) \(1440000\) \(2.2360\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72450dx1 has rank \(0\).

Complex multiplication

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

Modular form 72450.2.a.dx

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