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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 104.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
104.a1 | 104a1 | \([0, 1, 0, -16, -32]\) | \(-235298/13\) | \(-26624\) | \([]\) | \(8\) | \(-0.39303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 104.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 104.a do not have complex multiplication.Modular form 104.2.a.a
sage: E.q_eigenform(10)