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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 8619.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8619.h1 | 8619a1 | \([1, 1, 0, 842, -49109]\) | \(2307174311/38336139\) | \(-1094918465979\) | \([]\) | \(10800\) | \(0.99068\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8619.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8619.h do not have complex multiplication.Modular form 8619.2.a.h
sage: E.q_eigenform(10)