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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 70805.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.j1 | 70805br1 | \([0, -1, 1, -4720, 101618]\) | \(1183744/245\) | \(2407409721605\) | \([]\) | \(186624\) | \(1.0910\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70805.j do not have complex multiplication.Modular form 70805.2.a.j
sage: E.q_eigenform(10)