Properties

Label 286650.t
Number of curves $1$
Conductor $286650$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 286650.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286650.t1 286650t1 \([1, -1, 0, -28450242, -57926063084]\) \(1551349793665/14556672\) \(23896482544279800000000\) \([]\) \(35562240\) \(3.1150\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650.t1 has rank \(2\).

Complex multiplication

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

Modular form 286650.2.a.t

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