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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 363726c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363726.c1 | 363726c1 | \([1, -1, 0, 164961, -82810931]\) | \(3176852591/20777472\) | \(-3246846187340118528\) | \([]\) | \(11024640\) | \(2.2338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 363726c do not have complex multiplication.Modular form 363726.2.a.c
sage: E.q_eigenform(10)