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SageMath
E = EllipticCurve("hi1")
E.isogeny_class()
Elliptic curves in class 162240hi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162240.du1 | 162240hi1 | \([0, -1, 0, -225, -11805]\) | \(-4096/195\) | \(-60238576320\) | \([]\) | \(161280\) | \(0.74846\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162240hi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162240hi do not have complex multiplication.Modular form 162240.2.a.hi
sage: E.q_eigenform(10)