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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 12675bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12675.l1 | 12675bj1 | \([1, 0, 0, -6962888, -7071390483]\) | \(117161545345/19683\) | \(6271885852126171875\) | \([]\) | \(589680\) | \(2.6143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12675bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12675bj do not have complex multiplication.Modular form 12675.2.a.bj
sage: E.q_eigenform(10)