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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 158.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
158.c1 | 158a1 | \([1, -1, 1, -9, 9]\) | \(72511713/20224\) | \(20224\) | \([]\) | \(32\) | \(-0.46658\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 158.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 158.c do not have complex multiplication.Modular form 158.2.a.c
sage: E.q_eigenform(10)