# Properties

 Label 291312.fn Number of curves $1$ Conductor $291312$ CM no Rank $0$

# Learn more

Show commands for: SageMath
sage: E = EllipticCurve("fn1")

sage: E.isogeny_class()

## Elliptic curves in class 291312.fn

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
291312.fn1 291312fn1 $$[0, 0, 0, 261069, 21942002]$$ $$2280364702703/1560674304$$ $$-1346782916776034304$$ $$[]$$ $$4700160$$ $$2.1673$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 291312.fn1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 291312.fn do not have complex multiplication.

## Modular form 291312.2.a.fn

sage: E.q_eigenform(10)

$$q + 3q^{5} + q^{7} - 5q^{11} - 6q^{19} + O(q^{20})$$