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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 444675.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
444675.bf1 | 444675bf1 | \([0, 1, 1, -45999158, 197872171844]\) | \(-1376628736/1366875\) | \(-10687726644105447685546875\) | \([]\) | \(121927680\) | \(3.4984\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 444675.bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 444675.bf do not have complex multiplication.Modular form 444675.2.a.bf
sage: E.q_eigenform(10)