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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 4600.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4600.h1 | 4600h1 | \([0, 0, 0, 36700, -355500]\) | \(1366664500224/804542875\) | \(-3218171500000000\) | \([]\) | \(17280\) | \(1.6650\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4600.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4600.h do not have complex multiplication.Modular form 4600.2.a.h
sage: E.q_eigenform(10)