Properties

Label 4275.l
Number of curves $1$
Conductor $4275$
CM no
Rank $1$

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

Elliptic curves in class 4275.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4275.l1 4275n1 \([1, -1, 0, 4158, -72959]\) \(17446602575/15000633\) \(-6834663410625\) \([]\) \(8064\) \(1.1503\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4275.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4275.l do not have complex multiplication.

Modular form 4275.2.a.l

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