# Properties

 Label 62400if Number of curves $1$ Conductor $62400$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("if1")

sage: E.isogeny_class()

## Elliptic curves in class 62400if

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.hy1 62400if1 $$[0, 1, 0, 31167, 17114463]$$ $$261568120/10024911$$ $$-128318860800000000$$ $$[]$$ $$518400$$ $$1.9627$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 62400if1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 62400if do not have complex multiplication.

## Modular form 62400.2.a.if

sage: E.q_eigenform(10)

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