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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 11830y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11830.o1 | 11830y1 | \([1, -1, 1, 33, -9]\) | \(24191271/14000\) | \(-2366000\) | \([]\) | \(4608\) | \(-0.087474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11830y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11830y do not have complex multiplication.Modular form 11830.2.a.y
sage: E.q_eigenform(10)