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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 9360bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9360.d1 | 9360bk1 | \([0, 0, 0, -27408, 1793392]\) | \(-762549907456/24024195\) | \(-71735861882880\) | \([]\) | \(26880\) | \(1.4350\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9360bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9360bk do not have complex multiplication.Modular form 9360.2.a.bk
sage: E.q_eigenform(10)