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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 247962.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
247962.k1 | 247962k1 | \([1, 1, 0, -395791, 90420517]\) | \(82097037255189817/5066987667456\) | \(423199876973592576\) | \([]\) | \(7482240\) | \(2.1339\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 247962.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 247962.k do not have complex multiplication.Modular form 247962.2.a.k
sage: E.q_eigenform(10)