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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 100008a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100008.b1 | 100008a1 | \([0, 0, 0, -51, 222]\) | \(-530604/463\) | \(-12801024\) | \([]\) | \(21696\) | \(0.061044\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100008a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100008a do not have complex multiplication.Modular form 100008.2.a.a
sage: E.q_eigenform(10)