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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 71050.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71050.bj1 | 71050bw1 | \([1, -1, 1, -1455, -30453]\) | \(-185193/116\) | \(-213238812500\) | \([]\) | \(155520\) | \(0.87545\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71050.bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71050.bj do not have complex multiplication.Modular form 71050.2.a.bj
sage: E.q_eigenform(10)