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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 121242.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.n1 | 121242e1 | \([1, 0, 1, -388, -2686]\) | \(4835382371/513024\) | \(682834944\) | \([]\) | \(63360\) | \(0.42968\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242.n1 has rank \(2\).
Complex multiplication
The elliptic curves in class 121242.n do not have complex multiplication.Modular form 121242.2.a.n
sage: E.q_eigenform(10)