Properties

Label 62400.v
Number of curves $1$
Conductor $62400$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("v1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 62400.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.v1 62400fc1 \([0, -1, 0, -33, 687]\) \(-4096/195\) \(-195000000\) \([]\) \(23040\) \(0.27071\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 62400.v do not have complex multiplication.

Modular form 62400.2.a.v

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