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SageMath
E = EllipticCurve("ht1")
E.isogeny_class()
Elliptic curves in class 224400ht
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
224400.r1 | 224400ht1 | \([0, -1, 0, -62083, -6064838]\) | \(-169366988800/4377483\) | \(-683981718750000\) | \([]\) | \(990720\) | \(1.6299\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400ht1 has rank \(1\).
Complex multiplication
The elliptic curves in class 224400ht do not have complex multiplication.Modular form 224400.2.a.ht
sage: E.q_eigenform(10)