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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 25270a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25270.h1 | 25270a1 | \([1, 0, 1, 11, -44]\) | \(24389/140\) | \(-960260\) | \([]\) | \(3520\) | \(-0.17011\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25270a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25270a do not have complex multiplication.Modular form 25270.2.a.a
sage: E.q_eigenform(10)