Properties

Label 23104.c
Number of curves $1$
Conductor $23104$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 23104.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23104.c1 23104w1 \([0, 0, 0, -76, 304]\) \(-4104\) \(-11829248\) \([]\) \(8064\) \(0.075583\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23104.c1 has rank \(2\).

Complex multiplication

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

Modular form 23104.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 2 q^{5} + 2 q^{7} + 6 q^{9} - 3 q^{11} + 2 q^{13} + 6 q^{15} - 6 q^{17} + O(q^{20})\) Copy content Toggle raw display