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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 260100.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
260100.bj1 | 260100bj1 | \([0, 0, 0, -6589200, -6514146700]\) | \(-11237785600/7803\) | \(-21968613393792480000\) | \([]\) | \(7962624\) | \(2.6482\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 260100.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 260100.bj do not have complex multiplication.Modular form 260100.2.a.bj
sage: E.q_eigenform(10)