Properties

Label 248430.o
Number of curves $1$
Conductor $248430$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 248430.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248430.o1 248430o1 \([1, 1, 0, -300567348, -9465278928048]\) \(-107920681386000721/1328441886720000\) \(-36964683728989441288980480000\) \([]\) \(284497920\) \(4.1634\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248430.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 248430.o do not have complex multiplication.

Modular form 248430.2.a.o

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