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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 22848.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22848.s1 | 22848ch1 | \([0, -1, 0, 14259, -597573]\) | \(5009339741732864/5271114033171\) | \(-337351298122944\) | \([]\) | \(78336\) | \(1.4744\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22848.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22848.s do not have complex multiplication.Modular form 22848.2.a.s
sage: E.q_eigenform(10)