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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 7740a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 7740.b1 | 7740a1 | \([0, 0, 0, 2472, 19348]\) | \(8951619584/6046875\) | \(-1128492000000\) | \([]\) | \(9216\) | \(1.0013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7740a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7740a do not have complex multiplication.Modular form 7740.2.a.a
sage: E.q_eigenform(10)