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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 83790a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83790.g1 | 83790a1 | \([1, -1, 0, 285, 405]\) | \(39413493/24320\) | \(-1576592640\) | \([]\) | \(43008\) | \(0.45402\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83790a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 83790a do not have complex multiplication.Modular form 83790.2.a.a
sage: E.q_eigenform(10)