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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 36414b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.q1 | 36414b1 | \([1, -1, 0, -15660, -3590098]\) | \(-7803/98\) | \(-5334319860588054\) | \([]\) | \(274176\) | \(1.6995\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36414b do not have complex multiplication.Modular form 36414.2.a.b
sage: E.q_eigenform(10)