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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 361998c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
361998.c1 | 361998c1 | \([1, -1, 0, -5509386, 4978782706]\) | \(-11547175712678159581/2268037422\) | \(-3632518219561686\) | \([]\) | \(14837760\) | \(2.3759\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 361998c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 361998c do not have complex multiplication.Modular form 361998.2.a.c
sage: E.q_eigenform(10)