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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 74025bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74025.c1 | 74025bk1 | \([0, 0, 1, -2305875, -1554127344]\) | \(-952299216687104/181724407767\) | \(-258744322777623046875\) | \([]\) | \(4515840\) | \(2.6407\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74025bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 74025bk do not have complex multiplication.Modular form 74025.2.a.bk
sage: E.q_eigenform(10)