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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 35520.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35520.y1 | 35520cf1 | \([0, -1, 0, -1365, 19917]\) | \(-17179869184/44955\) | \(-736542720\) | \([]\) | \(19200\) | \(0.57692\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35520.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35520.y do not have complex multiplication.Modular form 35520.2.a.y
sage: E.q_eigenform(10)