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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 266805k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266805.k1 | 266805k1 | \([0, 0, 1, -7623, 440228]\) | \(-110592/125\) | \(-55371689170875\) | \([]\) | \(960960\) | \(1.3315\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266805k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 266805k do not have complex multiplication.Modular form 266805.2.a.k
sage: E.q_eigenform(10)