Properties

Label 385112.s
Number of curves $1$
Conductor $385112$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 385112.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
385112.s1 385112s1 \([0, -1, 0, -167731793, 836179232693]\) \(13770918300093568000/31622653517\) \(1198409632237586332928\) \([]\) \(43084800\) \(3.2882\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 385112.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 385112.s do not have complex multiplication.

Modular form 385112.2.a.s

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{7} + q^{9} + q^{11} - q^{13} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display