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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 8400.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8400.j1 | 8400l1 | \([0, -1, 0, 15792, -1011213]\) | \(69683121920/110270727\) | \(-689192043750000\) | \([]\) | \(38400\) | \(1.5324\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8400.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8400.j do not have complex multiplication.Modular form 8400.2.a.j
sage: E.q_eigenform(10)