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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 151725.c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 151725.c1 | 151725m1 | \([0, -1, 1, -14958158, 20404556468]\) | \(283623608680689664/26378173828125\) | \(34423929004669189453125\) | \([]\) | \(15455232\) | \(3.0630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151725.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 151725.c do not have complex multiplication.Modular form 151725.2.a.c
sage: E.q_eigenform(10)