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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 26656e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26656.e1 | 26656e1 | \([0, 1, 0, -800, 75676]\) | \(-392/17\) | \(-2458664567296\) | \([]\) | \(28224\) | \(1.0576\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26656e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26656e do not have complex multiplication.Modular form 26656.2.a.e
sage: E.q_eigenform(10)