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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 46090k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46090.f1 | 46090k1 | \([1, -1, 1, -2928, 4882131]\) | \(-2775222881255889/10292115695206400\) | \(-10292115695206400\) | \([]\) | \(718848\) | \(1.7515\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46090k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46090k do not have complex multiplication.Modular form 46090.2.a.k
sage: E.q_eigenform(10)