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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 88200cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.hx1 | 88200cy1 | \([0, 0, 0, -14700, 5316500]\) | \(-1024/35\) | \(-12007256940000000\) | \([]\) | \(552960\) | \(1.7656\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88200cy do not have complex multiplication.Modular form 88200.2.a.cy
sage: E.q_eigenform(10)