# Properties

 Label 31200j Number of curves $1$ Conductor $31200$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("j1")

sage: E.isogeny_class()

## Elliptic curves in class 31200j

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
31200.bc1 31200j1 $$[0, -1, 0, 312, -17208]$$ $$261568120/10024911$$ $$-128318860800$$ $$[]$$ $$25920$$ $$0.81136$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 31200j1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 31200j do not have complex multiplication.

## Modular form 31200.2.a.j

sage: E.q_eigenform(10)

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