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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 21175.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21175.a1 | 21175y1 | \([0, 0, 1, -996875, -383097344]\) | \(210720960000000/16807\) | \(8738326953125\) | \([]\) | \(172800\) | \(1.9288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21175.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21175.a do not have complex multiplication.Modular form 21175.2.a.a
sage: E.q_eigenform(10)