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SageMath
E = EllipticCurve("jp1")
E.isogeny_class()
Elliptic curves in class 346800jp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 346800.jp1 | 346800jp1 | \([0, 1, 0, -5609008, -12113188012]\) | \(-43713001/116640\) | \(-52073750266767360000000\) | \([]\) | \(21150720\) | \(3.0464\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346800jp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 346800jp do not have complex multiplication.Modular form 346800.2.a.jp
sage: E.q_eigenform(10)