# Properties

 Label 78400.is Number of curves $1$ Conductor $78400$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("is1")

sage: E.isogeny_class()

## Elliptic curves in class 78400.is

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
78400.is1 78400bh1 $$[0, 1, 0, -1633, -30017]$$ $$-5000$$ $$-96378060800$$ $$[]$$ $$69120$$ $$0.83039$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 78400.is1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 78400.is do not have complex multiplication.

## Modular form 78400.2.a.is

sage: E.q_eigenform(10)

$$q + q^{3} - 2 q^{9} + 5 q^{11} + 5 q^{17} - 5 q^{19} + O(q^{20})$$