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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 21858a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21858.a1 | 21858a1 | \([1, 1, 0, -32, 60]\) | \(-3803721481/131148\) | \(-131148\) | \([]\) | \(9984\) | \(-0.24473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21858a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 21858a do not have complex multiplication.Modular form 21858.2.a.a
sage: E.q_eigenform(10)