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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 136462d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
136462.a1 | 136462d1 | \([1, -1, 0, -2523766, -1536211340]\) | \(2003092024307193/9529458688\) | \(8457429663537430528\) | \([]\) | \(9710280\) | \(2.4810\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 136462d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 136462d do not have complex multiplication.Modular form 136462.2.a.d
sage: E.q_eigenform(10)