Properties

Label 49098c
Number of curves $1$
Conductor $49098$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 49098c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
49098.f1 49098c1 \([1, 1, 0, -159912, -24715368]\) \(-3843995587427449/6390046584\) \(-751782590561016\) \([]\) \(381024\) \(1.7504\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 49098c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 49098c do not have complex multiplication.

Modular form 49098.2.a.c

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