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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 224400dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.m1 | 224400dd1 | \([0, -1, 0, 116667, 48954537]\) | \(1756160000000/11385833283\) | \(-1138583328300000000\) | \([]\) | \(3801600\) | \(2.1465\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400dd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 224400dd do not have complex multiplication.Modular form 224400.2.a.dd
sage: E.q_eigenform(10)