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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 164730.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164730.h1 | 164730de1 | \([1, 1, 0, -33963, 19384317]\) | \(-51875959429369/1916338176000\) | \(-160054480797696000\) | \([]\) | \(2363904\) | \(1.9814\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164730.h do not have complex multiplication.Modular form 164730.2.a.h
sage: E.q_eigenform(10)