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SageMath
E = EllipticCurve("mp1")
E.isogeny_class()
Elliptic curves in class 100800mp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 100800.m1 | 100800mp1 | \([0, 0, 0, -83550, -16128250]\) | \(-88478050816/102942875\) | \(-75045355875000000\) | \([]\) | \(967680\) | \(1.9322\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800mp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100800mp do not have complex multiplication.Modular form 100800.2.a.mp
sage: E.q_eigenform(10)