# Properties

 Label 377520.hn Number of curves $1$ Conductor $377520$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("hn1")

sage: E.isogeny_class()

## Elliptic curves in class 377520.hn

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
377520.hn1 377520hn1 $$[0, 1, 0, -40, -7372]$$ $$-121/390$$ $$-23388119040$$ $$[]$$ $$322560$$ $$0.66857$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 377520.hn1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 377520.hn do not have complex multiplication.

## Modular form 377520.2.a.hn

sage: E.q_eigenform(10)

$$q + q^{3} + q^{5} + 3q^{7} + q^{9} - q^{13} + q^{15} + 3q^{17} - 4q^{19} + O(q^{20})$$