# Properties

 Label 15600.v Number of curves $1$ Conductor $15600$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("v1")

sage: E.isogeny_class()

## Elliptic curves in class 15600.v

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.v1 15600bp1 $$[0, -1, 0, -53, -1923]$$ $$-32768/3159$$ $$-1617408000$$ $$[]$$ $$5760$$ $$0.44657$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 15600.v1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 15600.v do not have complex multiplication.

## Modular form 15600.2.a.v

sage: E.q_eigenform(10)

$$q - q^{3} + q^{7} + q^{9} + q^{11} - q^{13} - q^{17} + 4q^{19} + O(q^{20})$$