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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 11830a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11830.j1 | 11830a1 | \([1, 0, 1, 20276, -3535478]\) | \(86938307/560000\) | \(-5938519648880000\) | \([]\) | \(104832\) | \(1.7085\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11830a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11830a do not have complex multiplication.Modular form 11830.2.a.a
sage: E.q_eigenform(10)