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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 53361e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53361.u1 | 53361e1 | \([0, 0, 1, -2241162, -2912109874]\) | \(-6193152/14641\) | \(-2943082688610493619883\) | \([]\) | \(3386880\) | \(2.8077\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53361e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53361e do not have complex multiplication.Modular form 53361.2.a.e
sage: E.q_eigenform(10)