# Properties

 Label 700.g Number of curves $1$ Conductor $700$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("g1")

sage: E.isogeny_class()

## Elliptic curves in class 700.g

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
700.g1 700c1 [0, 0, 0, -5, 5] [] 36 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 700.g1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 700.g do not have complex multiplication.

## Modular form700.2.a.g

sage: E.q_eigenform(10)

$$q + q^{7} - 3q^{9} - 5q^{11} - 6q^{13} + 4q^{17} - 6q^{19} + O(q^{20})$$