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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 279174.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.bj1 | 279174bj1 | \([1, 0, 1, -135657040, -2508165069154]\) | \(-39578501433808712953/366679396931428224\) | \(-2557866531605803000325414784\) | \([]\) | \(181778688\) | \(3.9415\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174.bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 279174.bj do not have complex multiplication.Modular form 279174.2.a.bj
sage: E.q_eigenform(10)