Properties

Label 286650v
Number of curves $1$
Conductor $286650$
CM no
Rank $1$

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

Elliptic curves in class 286650v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286650.v1 286650v1 \([1, -1, 0, -1495692, 4325833966]\) \(-662989657192009/14097531093750\) \(-7868404815622558593750\) \([]\) \(25804800\) \(2.8823\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 286650v do not have complex multiplication.

Modular form 286650.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 4 q^{11} - q^{13} + q^{16} - 5 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display