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SageMath
E = EllipticCurve("fc1")
E.isogeny_class()
Elliptic curves in class 152880fc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152880.b1 | 152880fc1 | \([0, -1, 0, -4181, 2373981]\) | \(-822083584/246796875\) | \(-2427122880000000\) | \([]\) | \(907200\) | \(1.6313\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152880fc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 152880fc do not have complex multiplication.Modular form 152880.2.a.fc
sage: E.q_eigenform(10)