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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 356928j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
356928.j1 | 356928j1 | \([0, -1, 0, -55156417, 157685886721]\) | \(694248748626056/3993\) | \(106732348013051904\) | \([]\) | \(21924864\) | \(2.8785\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 356928j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 356928j do not have complex multiplication.Modular form 356928.2.a.j
sage: E.q_eigenform(10)