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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 426888c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.c1 | 426888c1 | \([0, 0, 0, -317248932, -2290252578460]\) | \(-37811178496/2381643\) | \(-222423498514735481855662848\) | \([]\) | \(267079680\) | \(3.8093\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888c do not have complex multiplication.Modular form 426888.2.a.c
sage: E.q_eigenform(10)