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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 265200m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 265200.m1 | 265200m1 | \([0, -1, 0, -22973958, 146802830787]\) | \(-8582447853100000000/54611490800928087\) | \(-8533045437645013593750000\) | \([]\) | \(53222400\) | \(3.4674\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 265200m do not have complex multiplication.Modular form 265200.2.a.m
sage: E.q_eigenform(10)