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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 33327.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33327.c1 | 33327r1 | \([0, 0, 1, -458643, -139509864]\) | \(-98867482624/20696067\) | \(-2233481533641302427\) | \([]\) | \(1267200\) | \(2.2426\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33327.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33327.c do not have complex multiplication.Modular form 33327.2.a.c
sage: E.q_eigenform(10)