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SageMath
E = EllipticCurve("hj1")
E.isogeny_class()
Elliptic curves in class 206400hj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.jd1 | 206400hj1 | \([0, 1, 0, -464533, 122136563]\) | \(-43304636317696/176326875\) | \(-45139680000000000\) | \([]\) | \(2359296\) | \(2.0519\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400hj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206400hj do not have complex multiplication.Modular form 206400.2.a.hj
sage: E.q_eigenform(10)