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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 324800cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
324800.cf1 | 324800cf1 | \([0, -1, 0, -33, -116063]\) | \(-1/1421\) | \(-5820416000000\) | \([]\) | \(573440\) | \(1.1283\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 324800cf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 324800cf do not have complex multiplication.Modular form 324800.2.a.cf
sage: E.q_eigenform(10)