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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 121242i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.g1 | 121242i1 | \([1, 0, 1, -102127, -15286174]\) | \(-49958012987/13851648\) | \(-32661461418144768\) | \([]\) | \(1013760\) | \(1.8845\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121242i do not have complex multiplication.Modular form 121242.2.a.i
sage: E.q_eigenform(10)