Properties

Label 277200lm
Number of curves $1$
Conductor $277200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("lm1")
 
E.isogeny_class()
 

Elliptic curves in class 277200lm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
277200.lm1 277200lm1 \([0, 0, 0, 20325, -3985375]\) \(137566156032/1096135733\) \(-7398916197750000\) \([]\) \(1505280\) \(1.7265\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 277200lm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 277200lm do not have complex multiplication.

Modular form 277200.2.a.lm

sage: E.q_eigenform(10)
 
\(q + q^{7} + q^{11} - 3 q^{13} - 2 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display