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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 23064.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23064.a1 | 23064c1 | \([0, -1, 0, 7368, -2576619]\) | \(3114752/203391\) | \(-2888164178916336\) | \([]\) | \(122880\) | \(1.6462\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23064.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23064.a do not have complex multiplication.Modular form 23064.2.a.a
sage: E.q_eigenform(10)