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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 348726.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.k1 | 348726k1 | \([1, 1, 0, -178, -980]\) | \(1742943169/27048\) | \(9764328\) | \([]\) | \(138240\) | \(0.14235\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348726.k do not have complex multiplication.Modular form 348726.2.a.k
sage: E.q_eigenform(10)