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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 296240ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296240.ct1 | 296240ct1 | \([0, 1, 0, -495320, 134315843]\) | \(-5674076449024/14904575\) | \(-35302592164674800\) | \([]\) | \(2838528\) | \(2.0505\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296240ct1 has rank \(1\).
Complex multiplication
The elliptic curves in class 296240ct do not have complex multiplication.Modular form 296240.2.a.ct
sage: E.q_eigenform(10)