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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 58443h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58443.r1 | 58443h1 | \([1, 1, 0, -265839, 52006398]\) | \(9692612875033/135163203\) | \(28973432947455843\) | \([]\) | \(485760\) | \(1.9641\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58443h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58443h do not have complex multiplication.Modular form 58443.2.a.h
sage: E.q_eigenform(10)