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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 11200.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11200.s1 | 11200bg1 | \([0, -1, 0, -33, 1537]\) | \(-200/49\) | \(-1003520000\) | \([]\) | \(3840\) | \(0.40647\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11200.s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 11200.s do not have complex multiplication.Modular form 11200.2.a.s
sage: E.q_eigenform(10)