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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 195195bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
195195.r1 | 195195bk1 | \([0, -1, 1, 1309, 66536]\) | \(112818618368/947244375\) | \(-2081095891875\) | \([]\) | \(269568\) | \(1.0450\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 195195bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 195195bk do not have complex multiplication.Modular form 195195.2.a.bk
sage: E.q_eigenform(10)