# Properties

 Label 303450.dp Number of curves $1$ Conductor $303450$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("dp1")

sage: E.isogeny_class()

## Elliptic curves in class 303450.dp

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.dp1 303450dp1 $$[1, 1, 1, -78138, -5118969]$$ $$18694465225/6858432$$ $$19356316875000000$$ $$[]$$ $$3991680$$ $$1.8254$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 303450.dp1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 303450.dp do not have complex multiplication.

## Modular form 303450.2.a.dp

sage: E.q_eigenform(10)

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