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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 308112.cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308112.cf1 | 308112cf1 | \([0, 1, 0, -12952, 1260692]\) | \(-498677257/1145988\) | \(-552240505700352\) | \([]\) | \(1451520\) | \(1.5172\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308112.cf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 308112.cf do not have complex multiplication.Modular form 308112.2.a.cf
sage: E.q_eigenform(10)