Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 98192.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98192.x1 | 98192i1 | \([0, 0, 0, 10469, 113354]\) | \(237719583/147968\) | \(-78984551333888\) | \([]\) | \(435456\) | \(1.3558\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98192.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 98192.x do not have complex multiplication.Modular form 98192.2.a.x
sage: E.q_eigenform(10)