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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 323400a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
323400.a1 | 323400a1 | \([0, -1, 0, -3033, -46563]\) | \(15748096/4125\) | \(808500000000\) | \([]\) | \(608256\) | \(0.99372\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 323400a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 323400a do not have complex multiplication.Modular form 323400.2.a.a
sage: E.q_eigenform(10)