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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 250173.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.d1 | 250173d1 | \([0, 0, 1, 126711, 27825248]\) | \(242970624/501809\) | \(-464677179234482907\) | \([]\) | \(5391360\) | \(2.0744\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250173.d do not have complex multiplication.Modular form 250173.2.a.d
sage: E.q_eigenform(10)