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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 6958.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6958.a1 | 6958i1 | \([1, -1, 0, -128683, -17662331]\) | \(2003092024307193/9529458688\) | \(1121131285184512\) | \([]\) | \(106920\) | \(1.7370\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6958.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6958.a do not have complex multiplication.Modular form 6958.2.a.a
sage: E.q_eigenform(10)