Properties

Label 62424.a
Number of curves $1$
Conductor $62424$
CM no
Rank $1$

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

Elliptic curves in class 62424.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62424.a1 62424bh1 \([0, 0, 0, -31212, -2653020]\) \(-3072\) \(-1094629871524608\) \([]\) \(354816\) \(1.5983\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62424.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 62424.a do not have complex multiplication.

Modular form 62424.2.a.a

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