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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 110946.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110946.c1 | 110946f1 | \([1, 1, 0, -6916509, 7490424699]\) | \(-4582619467033/385826166\) | \(-3080793086948426980086\) | \([]\) | \(8954400\) | \(2.8684\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110946.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 110946.c do not have complex multiplication.Modular form 110946.2.a.c
sage: E.q_eigenform(10)