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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 21175bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21175.k1 | 21175bk1 | \([1, 0, 0, -190638, -32032483]\) | \(9150625/7\) | \(586137565234375\) | \([]\) | \(102960\) | \(1.7659\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21175bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21175bk do not have complex multiplication.Modular form 21175.2.a.bk
sage: E.q_eigenform(10)