# Properties

 Label 369600.vb Number of curves $1$ Conductor $369600$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("vb1")

sage: E.isogeny_class()

## Elliptic curves in class 369600.vb

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.vb1 369600vb1 $$[0, 1, 0, -833, -3309537]$$ $$-25/1848$$ $$-4730880000000000$$ $$[]$$ $$1935360$$ $$1.6866$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 369600.vb1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 369600.vb do not have complex multiplication.

## Modular form 369600.2.a.vb

sage: E.q_eigenform(10)

$$q + q^{3} + q^{7} + q^{9} + q^{11} - 4 q^{13} - 4 q^{17} + 2 q^{19} + O(q^{20})$$