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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 425880.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 425880.k1 | 425880k1 | \([0, 0, 0, -37357788, 88101888212]\) | \(-224112538624/637875\) | \(-16411058667746267616000\) | \([]\) | \(43130880\) | \(3.1344\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 425880.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 425880.k do not have complex multiplication.Modular form 425880.2.a.k
sage: E.q_eigenform(10)