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SageMath
E = EllipticCurve("hx1")
E.isogeny_class()
Elliptic curves in class 78400hx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.ei1 | 78400hx1 | \([0, -1, 0, -80033, 8118937]\) | \(12544\) | \(4519603984000000\) | \([]\) | \(376320\) | \(1.7474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400hx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400hx do not have complex multiplication.Modular form 78400.2.a.hx
sage: E.q_eigenform(10)