Properties

Label 37200a
Number of curves $1$
Conductor $37200$
CM no
Rank $1$

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

Elliptic curves in class 37200a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37200.g1 37200a1 \([0, -1, 0, -3508, -87113]\) \(-19102326016/2413071\) \(-603267750000\) \([]\) \(53760\) \(0.99447\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37200a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 37200a do not have complex multiplication.

Modular form 37200.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 2 q^{11} - 4 q^{13} + 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display