Properties

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

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Show commands: SageMath
E = EllipticCurve("ey1")
 
E.isogeny_class()
 

Elliptic curves in class 72450.ey

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
72450.ey1 72450ef1 \([1, -1, 1, 207070, -8750303]\) \(137927116575/84410368\) \(-600929280000000000\) \([]\) \(1167360\) \(2.1006\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72450.ey1 has rank \(0\).

Complex multiplication

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

Modular form 72450.2.a.ey

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{7} + q^{8} + 4 q^{11} - q^{13} + q^{14} + q^{16} + 3 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display