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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 297024d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 297024.d1 | 297024d1 | \([0, -1, 0, -212737, 37837849]\) | \(1039812152065376512/5323417281\) | \(5451179295744\) | \([]\) | \(1566720\) | \(1.6412\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297024d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 297024d do not have complex multiplication.Modular form 297024.2.a.d
sage: E.q_eigenform(10)