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SageMath
E = EllipticCurve("dp1")
E.isogeny_class()
Elliptic curves in class 145200.dp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145200.dp1 | 145200fw1 | \([0, -1, 0, 177467, 5363437]\) | \(45056/27\) | \(-370412146368000000\) | \([]\) | \(1267200\) | \(2.0604\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.dp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145200.dp do not have complex multiplication.Modular form 145200.2.a.dp
sage: E.q_eigenform(10)