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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 151725f
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 151725.h1 | 151725f1 | \([0, 1, 1, 142092, -14287906]\) | \(841232384/722211\) | \(-272381528829046875\) | \([]\) | \(1935360\) | \(2.0331\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151725f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 151725f do not have complex multiplication.Modular form 151725.2.a.f
sage: E.q_eigenform(10)