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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 26010.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26010.t1 | 26010s1 | \([1, -1, 0, 1222416, -479551712]\) | \(2336752783/2500000\) | \(-216126404915782500000\) | \([]\) | \(1142400\) | \(2.5885\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26010.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26010.t do not have complex multiplication.Modular form 26010.2.a.t
sage: E.q_eigenform(10)