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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 53361.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53361.s1 | 53361bn1 | \([1, -1, 1, -171823532, -868965797752]\) | \(-30515071121161/85766121\) | \(-1576786954169855123108721\) | \([]\) | \(10948608\) | \(3.5154\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53361.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53361.s do not have complex multiplication.Modular form 53361.2.a.s
sage: E.q_eigenform(10)