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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 5520b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5520.c1 | 5520b1 | \([0, -1, 0, -201, -1035]\) | \(-3525581824/9315\) | \(-2384640\) | \([]\) | \(1536\) | \(0.098748\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5520b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5520b do not have complex multiplication.Modular form 5520.2.a.b
sage: E.q_eigenform(10)