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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 343850bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
343850.bj1 | 343850bj1 | \([1, 0, 1, 158424, -267944202]\) | \(304175/21632\) | \(-31272581551250000000\) | \([]\) | \(10644480\) | \(2.4203\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 343850bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 343850bj do not have complex multiplication.Modular form 343850.2.a.bj
sage: E.q_eigenform(10)