Properties

Label 432450.ew
Number of curves $1$
Conductor $432450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ew1")
 
E.isogeny_class()
 

Elliptic curves in class 432450.ew

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
432450.ew1 432450ew1 \([1, -1, 1, -4984206980, 136144074553647]\) \(-1354547383894636849/8173828125000\) \(-82631039969911651611328125000\) \([]\) \(862617600\) \(4.3882\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 432450.ew1 has rank \(0\).

Complex multiplication

The elliptic curves in class 432450.ew do not have complex multiplication.

Modular form 432450.2.a.ew

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 3 q^{7} + q^{8} + 5 q^{11} - 6 q^{13} - 3 q^{14} + q^{16} + 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display