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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 221067.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221067.h1 | 221067n1 | \([1, -1, 1, -286067, 104453902]\) | \(-74246873427/92019697\) | \(-3208693262199805611\) | \([]\) | \(2695680\) | \(2.2445\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221067.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 221067.h do not have complex multiplication.Modular form 221067.2.a.h
sage: E.q_eigenform(10)