Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 248430.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248430.b1 248430b1 \([1, 1, 0, -2817623, -1976782023]\) \(-3986228107813/410062500\) \(-254484017424358312500\) \([]\) \(13547520\) \(2.6550\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248430.b1 has rank \(1\).

Complex multiplication

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

Modular form 248430.2.a.b

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