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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 100023.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100023.a1 | 100023d1 | \([1, 0, 0, -287, 1764]\) | \(2614953528433/132330429\) | \(132330429\) | \([]\) | \(36096\) | \(0.31675\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100023.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 100023.a do not have complex multiplication.Modular form 100023.2.a.a
sage: E.q_eigenform(10)