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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 21175.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21175.w1 | 21175f1 | \([0, 0, 1, 6050, -41594]\) | \(884736/539\) | \(-14919865296875\) | \([]\) | \(67200\) | \(1.2170\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21175.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21175.w do not have complex multiplication.Modular form 21175.2.a.w
sage: E.q_eigenform(10)