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SageMath
E = EllipticCurve("gt1")
E.isogeny_class()
Elliptic curves in class 114240.gt
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 114240.gt1 | 114240da1 | \([0, 1, 0, -141, 909]\) | \(-4878401536/3346875\) | \(-214200000\) | \([]\) | \(34560\) | \(0.29890\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 114240.gt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 114240.gt do not have complex multiplication.Modular form 114240.2.a.gt
sage: E.q_eigenform(10)