Properties

Label 331200ks
Number of curves $1$
Conductor $331200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ks1")
 
E.isogeny_class()
 

Elliptic curves in class 331200ks

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331200.ks1 331200ks1 \([0, 0, 0, -660, 6550]\) \(-5451776/23\) \(-134136000\) \([]\) \(107520\) \(0.41417\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331200ks1 has rank \(1\).

Complex multiplication

The elliptic curves in class 331200ks do not have complex multiplication.

Modular form 331200.2.a.ks

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