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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 301665.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301665.bj1 | 301665bj1 | \([0, 1, 1, 1465, -125719]\) | \(12166529024/247963275\) | \(-7082079097275\) | \([]\) | \(522240\) | \(1.1461\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301665.bj1 has rank \(2\).
Complex multiplication
The elliptic curves in class 301665.bj do not have complex multiplication.Modular form 301665.2.a.bj
sage: E.q_eigenform(10)