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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 47096.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47096.a1 | 47096g1 | \([0, 0, 0, 29, -1682]\) | \(108/49\) | \(-1223742464\) | \([]\) | \(41216\) | \(0.42285\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47096.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47096.a do not have complex multiplication.Modular form 47096.2.a.a
sage: E.q_eigenform(10)