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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 405600.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.j1 | 405600j1 | \([0, -1, 0, 1316792, 4696767412]\) | \(261568120/10024911\) | \(-9677666127799800000000\) | \([]\) | \(21772800\) | \(2.8986\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405600.j do not have complex multiplication.Modular form 405600.2.a.j
sage: E.q_eigenform(10)