Properties

Label 27200.a
Number of curves $1$
Conductor $27200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 27200.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27200.a1 27200bi1 \([0, 0, 0, 20, 400]\) \(216/17\) \(-69632000\) \([]\) \(15872\) \(0.18441\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27200.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 27200.a do not have complex multiplication.

Modular form 27200.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 4 q^{7} + 6 q^{9} - 6 q^{11} + q^{13} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display