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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 177600.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.bj1 | 177600dk1 | \([0, -1, 0, -833, -8223]\) | \(9765625/888\) | \(5819596800\) | \([]\) | \(82944\) | \(0.61300\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177600.bj do not have complex multiplication.Modular form 177600.2.a.bj
sage: E.q_eigenform(10)