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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 490245.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
490245.bk1 | 490245bk1 | \([0, 1, 1, -2515, 47464]\) | \(14959673344/90045\) | \(10593704205\) | \([]\) | \(381888\) | \(0.76292\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 490245.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 490245.bk do not have complex multiplication.Modular form 490245.2.a.bk
sage: E.q_eigenform(10)