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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 63536.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63536.s1 | 63536bl1 | \([0, 0, 0, -5339, -148086]\) | \(11382465033/180224\) | \(266489298944\) | \([]\) | \(72576\) | \(0.99277\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63536.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 63536.s do not have complex multiplication.Modular form 63536.2.a.s
sage: E.q_eigenform(10)