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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 363726.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363726.t1 | 363726t1 | \([1, -1, 0, 184563, 69431269]\) | \(538359860375/1926234112\) | \(-2487669656443158528\) | \([]\) | \(4147200\) | \(2.2128\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726.t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 363726.t do not have complex multiplication.Modular form 363726.2.a.t
sage: E.q_eigenform(10)