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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 121242q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.f1 | 121242q1 | \([1, 0, 1, -3270, -111080]\) | \(-2181825073/1731456\) | \(-3067379922816\) | \([]\) | \(322560\) | \(1.0944\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121242q do not have complex multiplication.Modular form 121242.2.a.q
sage: E.q_eigenform(10)