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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1136.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1136.a1 | 1136d1 | \([0, 0, 0, -42019, -3301598]\) | \(2003092024307193/9529458688\) | \(39032662786048\) | \([]\) | \(7776\) | \(1.4572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1136.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1136.a do not have complex multiplication.Modular form 1136.2.a.a
sage: E.q_eigenform(10)