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SageMath
E = EllipticCurve("eb1")
E.isogeny_class()
Elliptic curves in class 70560eb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70560.cp1 | 70560eb1 | \([0, 0, 0, -147, 826]\) | \(-19208/5\) | \(-91445760\) | \([]\) | \(16128\) | \(0.24462\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70560eb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70560eb do not have complex multiplication.Modular form 70560.2.a.eb
sage: E.q_eigenform(10)