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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 433200c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
433200.c1 | 433200c1 | \([0, -1, 0, -446921008, 3665319704512]\) | \(-9082538350921/82944000\) | \(-90155817783853056000000000\) | \([]\) | \(245846016\) | \(3.8029\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433200c do not have complex multiplication.Modular form 433200.2.a.c
sage: E.q_eigenform(10)