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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 21675u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21675.z1 | 21675u1 | \([0, 1, 1, -4626408, -549552031]\) | \(100471803904/56953125\) | \(6207674773546142578125\) | \([]\) | \(2467584\) | \(2.8716\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21675u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21675u do not have complex multiplication.Modular form 21675.2.a.u
sage: E.q_eigenform(10)