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SageMath
E = EllipticCurve("hj1")
E.isogeny_class()
Elliptic curves in class 224400hj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.j1 | 224400hj1 | \([0, -1, 0, 1167, -216963]\) | \(1756160/203643\) | \(-20364300000000\) | \([]\) | \(599040\) | \(1.2331\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400hj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 224400hj do not have complex multiplication.Modular form 224400.2.a.hj
sage: E.q_eigenform(10)