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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 215950.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215950.d1 | 215950p1 | \([1, 1, 0, -3125, -69125]\) | \(-216108018001/2116310\) | \(-33067343750\) | \([]\) | \(247680\) | \(0.83833\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215950.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215950.d do not have complex multiplication.Modular form 215950.2.a.d
sage: E.q_eigenform(10)