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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 4036069.c
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
4036069.c1 | \([0, 0, 1, -21184, 1186752]\) | \(1051350717450682368/4036069\) | \(4036069\) | \([]\) | \(8873664\) | \(0.90460\) |
Rank
sage: E.rank()
The elliptic curve 4036069.c1 has rank \(4\).
Complex multiplication
The elliptic curves in class 4036069.c do not have complex multiplication.Modular form 4036069.2.a.c
sage: E.q_eigenform(10)