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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 426888bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.bj1 | 426888bj1 | \([0, 0, 0, -101871, 12835746]\) | \(-33264\) | \(-3514802674699008\) | \([]\) | \(2419200\) | \(1.7610\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888bj do not have complex multiplication.Modular form 426888.2.a.bj
sage: E.q_eigenform(10)