Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 72450.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
72450.d1 72450bb1 \([1, -1, 0, -1154592, 480162816]\) \(-14943832855786297/85501108224\) \(-973911060864000000\) \([]\) \(1347840\) \(2.2934\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72450.d1 has rank \(0\).

Complex multiplication

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

Modular form 72450.2.a.d

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