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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 238260.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
238260.k1 | 238260k1 | \([0, -1, 0, 916820, 85696600]\) | \(19602285104/12078825\) | \(-52516220377268947200\) | \([]\) | \(4924800\) | \(2.4731\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 238260.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 238260.k do not have complex multiplication.Modular form 238260.2.a.k
sage: E.q_eigenform(10)