# Properties

 Label 1200c Number of curves $1$ Conductor $1200$ CM no Rank $0$

# Learn more

Show commands for: SageMath
sage: E = EllipticCurve("c1")

sage: E.isogeny_class()

## Elliptic curves in class 1200c

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1200.b1 1200c1 $$[0, -1, 0, 167, 37]$$ $$5120/3$$ $$-300000000$$ $$[]$$ $$480$$ $$0.31601$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 1200c1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 1200c do not have complex multiplication.

## Modular form1200.2.a.c

sage: E.q_eigenform(10)

$$q - q^{3} - 3q^{7} + q^{9} - 2q^{11} - 3q^{13} + 6q^{17} + 7q^{19} + O(q^{20})$$