Properties

Label 2898l
Number of curves $1$
Conductor $2898$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 2898l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2898.m1 2898l1 \([1, -1, 1, 37, -245]\) \(212776173/1009792\) \(-27264384\) \([]\) \(672\) \(0.10909\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2898l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2898l do not have complex multiplication.

Modular form 2898.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + q^{7} + q^{8} - q^{10} - 2 q^{11} - 5 q^{13} + q^{14} + q^{16} + 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display