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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 12274j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12274.m1 | 12274j1 | \([1, 0, 0, -9574, -391610]\) | \(-5714497/578\) | \(-9816499437698\) | \([]\) | \(27360\) | \(1.2329\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12274j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12274j do not have complex multiplication.Modular form 12274.2.a.j
sage: E.q_eigenform(10)