# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("fp1")

sage: E.isogeny_class()

## Elliptic curves in class 369600.fp

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.fp1 369600fp1 $$[0, -1, 0, -903, -10143]$$ $$50950428160/33957$$ $$54331200$$ $$[]$$ $$147456$$ $$0.42299$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 369600.fp1 has rank $$0$$.

## Complex multiplication

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

## Modular form 369600.2.a.fp

sage: E.q_eigenform(10)

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