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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 26010.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26010.i1 | 26010k1 | \([1, -1, 0, -30083220, -63503437104]\) | \(-2048707405729/76800\) | \(-112869853703218252800\) | \([]\) | \(2154240\) | \(2.9342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26010.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26010.i do not have complex multiplication.Modular form 26010.2.a.i
sage: E.q_eigenform(10)