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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 1134.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1134.c1 | 1134b1 | \([1, -1, 0, 9, -35]\) | \(934407/6272\) | \(-508032\) | \([]\) | \(168\) | \(-0.22343\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1134.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1134.c do not have complex multiplication.Modular form 1134.2.a.c
sage: E.q_eigenform(10)