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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 15030a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 15030.a1 | 15030a1 | \([1, -1, 0, 360, 1856]\) | \(190804533093/171008000\) | \(-4617216000\) | \([]\) | \(9984\) | \(0.54181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15030a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15030a do not have complex multiplication.Modular form 15030.2.a.a
sage: E.q_eigenform(10)