Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 272832.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272832.s1 | 272832s1 | \([0, -1, 0, -18489, -10809567]\) | \(-5802287872/416118303\) | \(-50130843883158528\) | \([]\) | \(2177280\) | \(1.8842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272832.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 272832.s do not have complex multiplication.Modular form 272832.2.a.s
sage: E.q_eigenform(10)