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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 121242.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.q1 | 121242p1 | \([1, 0, 1, -1431917, -659654008]\) | \(-183282373631691937/6337561824\) | \(-11227377362487264\) | \([]\) | \(2764800\) | \(2.1706\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121242.q do not have complex multiplication.Modular form 121242.2.a.q
sage: E.q_eigenform(10)