Properties

Label 299538v
Number of curves $1$
Conductor $299538$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 299538v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
299538.v1 299538v1 \([1, -1, 1, -25538735, 20871329671]\) \(4935129584625/2352135088\) \(877981856352579674010288\) \([]\) \(37255680\) \(3.2883\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 299538v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 299538v do not have complex multiplication.

Modular form 299538.2.a.v

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{7} + q^{8} - 2 q^{11} - 3 q^{13} + 3 q^{14} + q^{16} + 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display