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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 25410k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25410.m1 | 25410k1 | \([1, 1, 0, 355738, -50106693996]\) | \(23225822386679/5059848192000000\) | \(-1084623396466993152000000\) | \([]\) | \(4523904\) | \(3.2908\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25410k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25410k do not have complex multiplication.Modular form 25410.2.a.k
sage: E.q_eigenform(10)