Properties

Label 23104.e
Number of curves $1$
Conductor $23104$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 23104.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23104.e1 23104cc1 \([0, 0, 0, 7220, 109744]\) \(27000/19\) \(-29290389143552\) \([]\) \(69120\) \(1.2725\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23104.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23104.e do not have complex multiplication.

Modular form 23104.2.a.e

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{7} + 6 q^{9} + 2 q^{11} - q^{13} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display