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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 28900.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28900.j1 | 28900k1 | \([0, 1, 0, -204708, 96599588]\) | \(-272\) | \(-3487878720500000000\) | \([]\) | \(514080\) | \(2.2437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28900.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28900.j do not have complex multiplication.Modular form 28900.2.a.j
sage: E.q_eigenform(10)