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SageMath
E = EllipticCurve("dm1")
E.isogeny_class()
Elliptic curves in class 29400dm
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 29400.l1 | 29400dm1 | \([0, -1, 0, 773792, -345298463]\) | \(69683121920/110270727\) | \(-81082754755143750000\) | \([]\) | \(921600\) | \(2.5054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400dm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29400dm do not have complex multiplication.Modular form 29400.2.a.dm
sage: E.q_eigenform(10)