# Properties

 Label 270802c Number of curves $1$ Conductor $270802$ CM no Rank $0$

# Related objects

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

sage: E.isogeny_class()

## Elliptic curves in class 270802c

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
270802.c1 270802c1 $$[1, 1, 0, -136263883, -612317399299]$$ $$-19287858777773741/877581376$$ $$-12731201127335979815744$$ $$[]$$ $$48330240$$ $$3.3176$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 270802c1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 270802c do not have complex multiplication.

## Modular form 270802.2.a.c

sage: E.q_eigenform(10)

$$q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} - 2q^{9} + q^{10} + 3q^{11} - q^{12} + 5q^{13} - q^{14} + q^{15} + q^{16} + 6q^{17} + 2q^{18} - 4q^{19} + O(q^{20})$$