Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 72450.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
72450.y1 72450bx1 \([1, -1, 0, 8283, -71659]\) \(137927116575/84410368\) \(-38459473920000\) \([]\) \(233472\) \(1.2959\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72450.y1 has rank \(0\).

Complex multiplication

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

Modular form 72450.2.a.y

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