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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 38025bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38025.q1 | 38025bk1 | \([1, -1, 1, -19805, -1595928]\) | \(-4225/3\) | \(-609989326171875\) | \([]\) | \(120960\) | \(1.5369\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38025bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38025bk do not have complex multiplication.Modular form 38025.2.a.bk
sage: E.q_eigenform(10)