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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 142296.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142296.bf1 | 142296dj1 | \([0, -1, 0, -956545, -302480891]\) | \(123904/21\) | \(16404928871563271424\) | \([]\) | \(2838528\) | \(2.4078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142296.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142296.bf do not have complex multiplication.Modular form 142296.2.a.bf
sage: E.q_eigenform(10)