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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 274890.l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 274890.l1 | 274890l1 | \([1, 1, 0, 294923527, -33249722942673]\) | \(70302311839806329656673/11876022024312244218750\) | \(-479240325492440748491459531250\) | \([]\) | \(365783040\) | \(4.3744\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 274890.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 274890.l do not have complex multiplication.Modular form 274890.2.a.l
sage: E.q_eigenform(10)