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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 93138e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 93138.h1 | 93138e1 | \([1, 1, 0, -444, -3792]\) | \(26908709473/4128\) | \(1490208\) | \([]\) | \(24480\) | \(0.19659\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93138e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93138e do not have complex multiplication.Modular form 93138.2.a.e
sage: E.q_eigenform(10)