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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 29744bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29744.o1 | 29744bj1 | \([0, 0, 0, -61139, 5981586]\) | \(-2808592297029/92274688\) | \(-830371797139456\) | \([]\) | \(132480\) | \(1.6377\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29744bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29744bj do not have complex multiplication.Modular form 29744.2.a.bj
sage: E.q_eigenform(10)