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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 3234.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3234.j1 | 3234l1 | \([1, 0, 1, -271, -4798]\) | \(-44681709625/175177728\) | \(-8583708672\) | \([]\) | \(1920\) | \(0.59153\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3234.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3234.j do not have complex multiplication.Modular form 3234.2.a.j
sage: E.q_eigenform(10)