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SageMath
E = EllipticCurve("ja1")
E.isogeny_class()
Elliptic curves in class 43200ja
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43200.bf1 | 43200ja1 | \([0, 0, 0, -150, -750]\) | \(-13824\) | \(-27000000\) | \([]\) | \(12288\) | \(0.17554\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43200ja1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43200ja do not have complex multiplication.Modular form 43200.2.a.ja
sage: E.q_eigenform(10)