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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 151725d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 151725.m1 | 151725d1 | \([0, 1, 1, -4322907758, 100221648482144]\) | \(283623608680689664/26378173828125\) | \(830909961601303882598876953125\) | \([]\) | \(262738944\) | \(4.4796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 151725d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 151725d do not have complex multiplication.Modular form 151725.2.a.d
sage: E.q_eigenform(10)