Properties

Label 705600.m
Number of curves $1$
Conductor $705600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 705600.m

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
705600.m1 \([0, 0, 0, -1260, -15120]\) \(7560\) \(29262643200\) \([]\) \(663552\) \(0.73622\)

Rank

sage: E.rank()
 

The elliptic curve 705600.m1 has rank \(2\).

Complex multiplication

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

Modular form 705600.2.a.m

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