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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 324723.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
324723.a1 | 324723a1 | \([0, -1, 1, -1334972, 225653420]\) | \(207474688/102789\) | \(130353299553081702069\) | \([]\) | \(20401920\) | \(2.5528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 324723.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 324723.a do not have complex multiplication.Modular form 324723.2.a.a
sage: E.q_eigenform(10)