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SageMath
E = EllipticCurve("gj1")
E.isogeny_class()
Elliptic curves in class 141120.gj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.gj1 | 141120mo1 | \([0, 0, 0, 378672, 281281952]\) | \(12459008/78125\) | \(-37654757763840000000\) | \([]\) | \(3010560\) | \(2.4381\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120.gj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120.gj do not have complex multiplication.Modular form 141120.2.a.gj
sage: E.q_eigenform(10)