# Properties

 Label 405600.t Number of curves $1$ Conductor $405600$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("t1")

sage: E.isogeny_class()

## Elliptic curves in class 405600.t

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.t1 405600t1 $$[0, -1, 0, -3318033, -2329927263]$$ $$-326938350400/767637$$ $$-9485407181652480000$$ $$[]$$ $$15482880$$ $$2.5216$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 405600.t1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 405600.t do not have complex multiplication.

## Modular form 405600.2.a.t

sage: E.q_eigenform(10)

$$q - q^{3} - 3q^{7} + q^{9} - 3q^{11} - 7q^{17} - 8q^{19} + O(q^{20})$$