Properties

Label 485100.l
Number of curves $1$
Conductor $485100$
CM no
Rank $1$

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

Elliptic curves in class 485100.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485100.l1 485100l1 \([0, 0, 0, 128625, -18436250]\) \(27440/33\) \(-283028199300000000\) \([]\) \(5391360\) \(2.0349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485100.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 485100.l do not have complex multiplication.

Modular form 485100.2.a.l

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