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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 7440w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 7440.p1 | 7440w1 | \([0, 1, 0, -368816, -86782380]\) | \(-1354547383894636849/8173828125000\) | \(-33480000000000000\) | \([]\) | \(112320\) | \(2.0103\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7440w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7440w do not have complex multiplication.Modular form 7440.2.a.w
sage: E.q_eigenform(10)