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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 36414.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.m1 | 36414d1 | \([1, -1, 0, 660, 4382]\) | \(5584653/4802\) | \(-27315634374\) | \([]\) | \(27648\) | \(0.69013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36414.m do not have complex multiplication.Modular form 36414.2.a.m
sage: E.q_eigenform(10)