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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 21675w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21675.u1 | 21675w1 | \([1, 0, 1, -6307576, 1138523423]\) | \(35242105/19683\) | \(15500315602553776171875\) | \([]\) | \(1156680\) | \(2.9482\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21675w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21675w do not have complex multiplication.Modular form 21675.2.a.w
sage: E.q_eigenform(10)