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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 36414.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.u1 | 36414bm1 | \([1, -1, 0, -15660, -33490616]\) | \(-83521/95256\) | \(-484407925333124184\) | \([]\) | \(587520\) | \(2.0725\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36414.u do not have complex multiplication.Modular form 36414.2.a.u
sage: E.q_eigenform(10)