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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 397800.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.s1 | 397800s1 | \([0, 0, 0, -384375, -92415625]\) | \(-55136800000/483327\) | \(-55053966093750000\) | \([]\) | \(3548160\) | \(2.0365\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 397800.s do not have complex multiplication.Modular form 397800.2.a.s
sage: E.q_eigenform(10)