Properties

Label 51520h
Number of curves $1$
Conductor $51520$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 51520h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51520.bv1 51520h1 \([0, 1, 0, 639, -1561]\) \(28134973184/17609375\) \(-18032000000\) \([]\) \(30720\) \(0.65702\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51520h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 51520h do not have complex multiplication.

Modular form 51520.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} - 2 q^{9} + 2 q^{11} - 3 q^{13} - q^{15} - 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display