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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 79560.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79560.d1 | 79560a1 | \([0, 0, 0, -10503, -1436373]\) | \(-406867062528/2594678125\) | \(-817136792550000\) | \([]\) | \(368640\) | \(1.5449\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79560.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79560.d do not have complex multiplication.Modular form 79560.2.a.d
sage: E.q_eigenform(10)