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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 207214k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
207214.z1 | 207214k1 | \([1, 0, 0, -910, 6934]\) | \(1771561/574\) | \(27004335694\) | \([]\) | \(165888\) | \(0.70496\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207214k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 207214k do not have complex multiplication.Modular form 207214.2.a.k
sage: E.q_eigenform(10)