Properties

Label 72450er
Number of curves $1$
Conductor $72450$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("er1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 72450er

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
72450.ee1 72450er1 \([1, -1, 1, 2046595, -756761403]\) \(83228502970940543/69854999176704\) \(-795692099997144000000\) \([]\) \(3421440\) \(2.6982\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72450er1 has rank \(1\).

Complex multiplication

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

Modular form 72450.2.a.er

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