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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 28571a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28571.a1 | 28571a1 | \([0, -1, 1, -4, 10]\) | \(-8998912/28571\) | \(-28571\) | \([]\) | \(4240\) | \(-0.45849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28571a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 28571a do not have complex multiplication.Modular form 28571.2.a.a
sage: E.q_eigenform(10)