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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 37180.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 37180.d1 | 37180e1 | \([0, 0, 0, 35152, 1485172]\) | \(1769472/1375\) | \(-3732783779296000\) | \([]\) | \(179712\) | \(1.6760\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37180.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37180.d do not have complex multiplication.Modular form 37180.2.a.d
sage: E.q_eigenform(10)