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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 190575.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.c1 | 190575h1 | \([0, 0, 1, 225795075, 1291422340656]\) | \(63090423356788736/72214645051395\) | \(-1457232827759078144793046875\) | \([]\) | \(100638720\) | \(3.8986\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190575.c do not have complex multiplication.Modular form 190575.2.a.c
sage: E.q_eigenform(10)