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SageMath
E = EllipticCurve("fa1")
E.isogeny_class()
Elliptic curves in class 106560fa
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106560.bb1 | 106560fa1 | \([0, 0, 0, -36318, -2703242]\) | \(-113548651969024/1951171875\) | \(-91033875000000\) | \([]\) | \(248832\) | \(1.4767\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560fa1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106560fa do not have complex multiplication.Modular form 106560.2.a.fa
sage: E.q_eigenform(10)