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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 12274.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12274.i1 | 12274g1 | \([1, -1, 0, 236207, 12089309]\) | \(237719583/147968\) | \(-907201612034298368\) | \([]\) | \(344736\) | \(2.1349\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12274.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12274.i do not have complex multiplication.Modular form 12274.2.a.i
sage: E.q_eigenform(10)