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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 46090r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46090.m1 | 46090r1 | \([1, 1, 1, -207793235, 1152822924087]\) | \(992242729607885119605705413041/1851081415938906250\) | \(1851081415938906250\) | \([]\) | \(5303760\) | \(3.1888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46090r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46090r do not have complex multiplication.Modular form 46090.2.a.r
sage: E.q_eigenform(10)