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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 10115.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 10115.d1 | 10115f1 | \([0, -1, 1, -135926, 19269832]\) | \(39814672384/153125\) | \(1068162858153125\) | \([]\) | \(110160\) | \(1.7421\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10115.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10115.d do not have complex multiplication.Modular form 10115.2.a.d
sage: E.q_eigenform(10)