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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 271950.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.c1 | 271950c1 | \([1, 1, 0, -20850, 1192500]\) | \(-26721587137/1150848\) | \(-43174782000000\) | \([]\) | \(1290240\) | \(1.3822\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271950.c do not have complex multiplication.Modular form 271950.2.a.c
sage: E.q_eigenform(10)