Properties

Label 1520.a
Number of curves $1$
Conductor $1520$
CM no
Rank $1$

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

Elliptic curves in class 1520.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1520.a1 1520e1 \([0, 0, 0, -67, -926]\) \(-16241202/171475\) \(-351180800\) \([]\) \(960\) \(0.32186\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1520.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1520.a do not have complex multiplication.

Modular form 1520.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + q^{7} + 6 q^{9} - 4 q^{11} + q^{13} - 3 q^{15} - 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display