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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 28322.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28322.h1 | 28322a1 | \([1, 0, 1, -64020, -7801146]\) | \(-208537/68\) | \(-9462083169796292\) | \([]\) | \(193536\) | \(1.7780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28322.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28322.h do not have complex multiplication.Modular form 28322.2.a.h
sage: E.q_eigenform(10)