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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 237160ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
237160.ct1 | 237160ct1 | \([0, 0, 0, -2442748, 1513863428]\) | \(-30211716096/1071875\) | \(-57191101096421600000\) | \([]\) | \(13708800\) | \(2.5634\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 237160ct1 has rank \(0\).
Complex multiplication
The elliptic curves in class 237160ct do not have complex multiplication.Modular form 237160.2.a.ct
sage: E.q_eigenform(10)