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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 8008.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8008.a1 | 8008a1 | \([0, 1, 0, -36613281, -85284134429]\) | \(-21203116761178214318777344/3296625230899\) | \(-843936059110144\) | \([]\) | \(352512\) | \(2.7108\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8008.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8008.a do not have complex multiplication.Modular form 8008.2.a.a
sage: E.q_eigenform(10)