Properties

Label 23520.r
Number of curves $1$
Conductor $23520$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 23520.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23520.r1 23520f1 \([0, -1, 0, -179160, -29129148]\) \(-215474070728/3645\) \(-10758502218240\) \([]\) \(88704\) \(1.6306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23520.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 23520.r do not have complex multiplication.

Modular form 23520.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - 3 q^{11} - q^{13} - q^{15} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display