Properties

Label 98315.h
Number of curves $1$
Conductor $98315$
CM no
Rank $2$

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Show commands: SageMath
sage: E = EllipticCurve("h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 98315.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
98315.h1 98315b1 \([0, -1, 1, -1588021, 204439826]\) \(7113539584/3828125\) \(238337877355991328125\) \([]\) \(3686256\) \(2.6011\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 98315.h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 98315.h do not have complex multiplication.

Modular form 98315.2.a.h

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - 2 q^{4} - q^{5} - q^{7} + q^{9} - 4 q^{11} - 4 q^{12} - 2 q^{13} - 2 q^{15} + 4 q^{16} - 6 q^{17} - 5 q^{19} + O(q^{20})\)  Toggle raw display