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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 50960k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
50960.q1 | 50960k1 | \([0, -1, 0, -1147400, 496810000]\) | \(-693346671296498/40610171875\) | \(-9784824035168000000\) | \([]\) | \(1198080\) | \(2.4000\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50960k1 has rank \(2\).
Complex multiplication
The elliptic curves in class 50960k do not have complex multiplication.Modular form 50960.2.a.k
sage: E.q_eigenform(10)