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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 122199k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122199.k1 | 122199k1 | \([0, 1, 1, 192380, 2789647]\) | \(5319051554816/3099832659\) | \(-458886483426298851\) | \([]\) | \(2534400\) | \(2.0784\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122199k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122199k do not have complex multiplication.Modular form 122199.2.a.k
sage: E.q_eigenform(10)