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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 27448.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27448.d1 | 27448b1 | \([0, 0, 0, -61447, 5867642]\) | \(-100227246636221136/97434364871\) | \(-24943197406976\) | \([]\) | \(147200\) | \(1.4915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27448.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 27448.d do not have complex multiplication.Modular form 27448.2.a.d
sage: E.q_eigenform(10)