# Properties

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

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("k1")

sage: E.isogeny_class()

## Elliptic curves in class 23520.k

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23520.k1 23520be1 $$[0, -1, 0, -3656, -83880]$$ $$-215474070728/3645$$ $$-91445760$$ $$[]$$ $$12672$$ $$0.65766$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 23520.k1 has rank $$1$$.

## Complex multiplication

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

## Modular form 23520.2.a.k

sage: E.q_eigenform(10)

$$q - q^{3} - q^{5} + q^{9} + 3q^{11} + q^{13} + q^{15} - 4q^{17} - q^{19} + O(q^{20})$$