Properties

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

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

Elliptic curves in class 425880.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
425880.m1 425880m1 \([0, 0, 0, -85683, 20049822]\) \(-18252/35\) \(-133402905392440320\) \([]\) \(3953664\) \(1.9757\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 425880.m1 has rank \(1\).

Complex multiplication

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

Modular form 425880.2.a.m

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