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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 388311k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388311.k1 | 388311k1 | \([1, 0, 1, 64683, -3999287]\) | \(6300872423/5104869\) | \(-24248659886649429\) | \([]\) | \(2903040\) | \(1.8318\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388311k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388311k do not have complex multiplication.Modular form 388311.2.a.k
sage: E.q_eigenform(10)