Properties

Label 705600.a
Number of curves $1$
Conductor $705600$
CM no
Rank $0$

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

Elliptic curves in class 705600.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.a1 \([0, 0, 0, -9363900, 11502710800]\) \(-43061200/2187\) \(-4611653492853012480000\) \([]\) \(57802752\) \(2.9174\)

Rank

sage: E.rank()
 

The elliptic curve 705600.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 705600.a do not have complex multiplication.

Modular form 705600.2.a.a

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