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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 271950d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.d1 | 271950d1 | \([1, 1, 0, -159275, -24991875]\) | \(-243087455521/5328000\) | \(-9794279250000000\) | \([]\) | \(2661120\) | \(1.8576\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 271950d do not have complex multiplication.Modular form 271950.2.a.d
sage: E.q_eigenform(10)