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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 58443c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58443.j1 | 58443c1 | \([1, 1, 1, -2197, -40072]\) | \(9692612875033/135163203\) | \(16354747563\) | \([]\) | \(44160\) | \(0.76512\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58443c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 58443c do not have complex multiplication.Modular form 58443.2.a.c
sage: E.q_eigenform(10)