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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 309168.m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 309168.m1 | 309168m1 | \([0, 0, 0, -15019731, -22771464814]\) | \(-3388335951737767194891/64702786021471744\) | \(-7155610511686603112448\) | \([]\) | \(15552000\) | \(2.9877\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168.m do not have complex multiplication.Modular form 309168.2.a.m
sage: E.q_eigenform(10)