Properties

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

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