Properties

Label 425880.p
Number of curves $1$
Conductor $425880$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 425880.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
425880.p1 425880p1 \([0, 0, 0, -85683, -11938498]\) \(-114244/35\) \(-21312890210626560\) \([]\) \(2096640\) \(1.8469\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 425880.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 425880.p do not have complex multiplication.

Modular form 425880.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display