Properties

Label 155526t
Number of curves $1$
Conductor $155526$
CM no
Rank $1$

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

Elliptic curves in class 155526t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155526.db1 155526t1 \([1, 0, 0, -56085, 44613729]\) \(-2689684081/117006336\) \(-848735711451242496\) \([]\) \(1976832\) \(2.1203\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155526t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 155526t do not have complex multiplication.

Modular form 155526.2.a.t

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