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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 218405.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
218405.d1 | 218405d1 | \([1, -1, 1, -510522, 304533694]\) | \(-1459161/3125\) | \(-31514695021309878125\) | \([]\) | \(9123840\) | \(2.4303\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 218405.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 218405.d do not have complex multiplication.Modular form 218405.2.a.d
sage: E.q_eigenform(10)