Properties

Label 248430p
Number of curves $1$
Conductor $248430$
CM no
Rank $0$

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

Elliptic curves in class 248430p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248430.p1 248430p1 \([1, 1, 0, -1528608, -647442648]\) \(58476710929/7085880\) \(47865587780926613880\) \([]\) \(7166016\) \(2.5068\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248430p1 has rank \(0\).

Complex multiplication

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

Modular form 248430.2.a.p

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