Properties

Label 324870p
Number of curves $1$
Conductor $324870$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 324870p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
324870.p1 324870p1 \([1, 1, 0, -28630333, 58979725813]\) \(-22060466590585704046921/11931886863088920\) \(-1403774557555548349080\) \([]\) \(42301440\) \(3.0067\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 324870p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 324870p do not have complex multiplication.

Modular form 324870.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} + 5 q^{11} - q^{12} + q^{13} + q^{15} + q^{16} + q^{17} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display