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SageMath
E = EllipticCurve("dp1")
E.isogeny_class()
Elliptic curves in class 88200dp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.gb1 | 88200dp1 | \([0, 0, 0, 1050, 5425]\) | \(358400/243\) | \(-86802030000\) | \([]\) | \(46080\) | \(0.78758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200dp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88200dp do not have complex multiplication.Modular form 88200.2.a.dp
sage: E.q_eigenform(10)