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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 448844.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
448844.d1 | 448844d1 | \([0, 1, 0, -269, 1631]\) | \(-827392/11\) | \(-28726016\) | \([]\) | \(101592\) | \(0.23899\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 448844.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 448844.d do not have complex multiplication.Modular form 448844.2.a.d
sage: E.q_eigenform(10)