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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 135240.cw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 135240.cw1 | 135240cw1 | \([0, 1, 0, -45236, 12983760]\) | \(-816112168883536/5346826171875\) | \(-67070587500000000\) | \([]\) | \(1140480\) | \(1.9121\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135240.cw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 135240.cw do not have complex multiplication.Modular form 135240.2.a.cw
sage: E.q_eigenform(10)