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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 3822.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3822.bf1 | 3822bf1 | \([1, 0, 0, -78, 468]\) | \(-1071912625/1364688\) | \(-66869712\) | \([]\) | \(1536\) | \(0.19473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3822.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3822.bf do not have complex multiplication.Modular form 3822.2.a.bf
sage: E.q_eigenform(10)