Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 98315.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
98315.c1 98315g1 \([0, 1, 1, -565, 1181]\) \(7113539584/3828125\) \(10753203125\) \([]\) \(69552\) \(0.61599\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 98315.c1 has rank \(2\).

Complex multiplication

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

Modular form 98315.2.a.c

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